Module 1 - :@0.111766:0.959238:0.216904:0.959238:0.216904:0.940047:0.111766:0.940047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
CLIL:@0.216904:0.959419:0.257552:0.959419:0.257552:0.940047:0.216904:0.940047:0.000000:0.000000:0.000000:0.000000
(a):@0.554554:0.866958:0.577009:0.866958:0.577009:0.847767:0.554554:0.847767:0.000000:0.000000:0.000000
(b):@0.611746:0.906593:0.634825:0.906593:0.634825:0.887402:0.611746:0.887402:0.000000:0.000000:0.000000
(c):@0.613877:0.861074:0.634684:0.861074:0.634684:0.841882:0.613877:0.841882:0.000000:0.000000:0.000000
A:@0.041101:0.199112:0.059897:0.199112:0.059897:0.174897:0.041101:0.174897:0.000000
 Look at the pictures. What other triangles do you see in everyday life?:@0.059897:0.198237:0.751590:0.198237:0.751590:0.178865:0.059897:0.178865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.041447:0.361459:0.057228:0.361459:0.057228:0.337243:0.041447:0.337243:0.000000
 Read the text and use the words in bold to label the triangles.:@0.057228:0.360584:0.674179:0.360584:0.674179:0.341211:0.057228:0.341211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Different types of triangles have different names. For example, in a :@0.069149:0.416499:0.700442:0.416499:0.700442:0.397307:0.069149:0.397307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
scalene triangle:@0.701746:0.416680:0.856558:0.416680:0.856558:0.397307:0.701746:0.397307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.856558:0.416499:0.868701:0.416499:0.868701:0.397307:0.856558:0.397307:0.000000:0.000000
each :@0.069149:0.434604:0.121336:0.434604:0.121336:0.415412:0.069149:0.415412:0.000000:0.000000:0.000000:0.000000:0.000000
side:@0.121517:0.434785:0.160014:0.434785:0.160014:0.415412:0.121517:0.415412:0.000000:0.000000:0.000000:0.000000
 is a different length, whereas an :@0.160014:0.434604:0.470824:0.434604:0.470824:0.415412:0.160014:0.415412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equilateral triangle:@0.470985:0.434785:0.654563:0.434785:0.654563:0.415412:0.470985:0.415412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 has three equal sides. :@0.654563:0.434604:0.868753:0.434604:0.868753:0.415412:0.654563:0.415412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
This also means that in an equilateral triangle, the interior :@0.069169:0.452709:0.601340:0.452709:0.601340:0.433517:0.069169:0.433517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
angle:@0.601312:0.452890:0.654705:0.452890:0.654705:0.433517:0.601312:0.433517:0.000000:0.000000:0.000000:0.000000:0.000000
 is equal too – each is :@0.654705:0.452709:0.868753:0.452709:0.868753:0.433517:0.654705:0.433517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
60º. This is because the interior angles of any triangle always equal 180º. In an :@0.069169:0.470814:0.778501:0.470814:0.778501:0.451623:0.069169:0.451623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isosceles :@0.777031:0.470995:0.868560:0.470995:0.868560:0.451623:0.777031:0.451623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triangle:@0.069169:0.489100:0.142906:0.489100:0.142906:0.469728:0.069169:0.469728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, two sides are of equal length, which means two of the interior angles will also :@0.142906:0.488919:0.868767:0.488919:0.868767:0.469728:0.142906:0.469728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
be the same.:@0.069169:0.507024:0.187412:0.507024:0.187412:0.487833:0.069169:0.487833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pythagoras discovered an interesting fact about triangles which have a:@0.069169:0.550356:0.741859:0.550356:0.741859:0.531164:0.069169:0.531164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 right angle:@0.741859:0.550537:0.860470:0.550537:0.860470:0.531164:0.741859:0.531164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.860470:0.550356:0.868753:0.550356:0.868753:0.531164:0.860470:0.531164:0.000000
(90º). This type of triangle is sometimes called a :@0.069169:0.568461:0.534810:0.568461:0.534810:0.549270:0.069169:0.549270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
right triangle:@0.537325:0.568642:0.665641:0.568642:0.665641:0.549270:0.537325:0.549270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. He saw that if you :@0.665641:0.568461:0.868751:0.568461:0.868751:0.549270:0.665641:0.549270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
square the length of the :@0.069169:0.586566:0.303193:0.586566:0.303193:0.567375:0.069169:0.567375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hypotenuse:@0.304453:0.586747:0.414697:0.586747:0.414697:0.567375:0.304453:0.567375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (the side opposite the right angle), it’s equal to :@0.414697:0.586566:0.868701:0.586566:0.868701:0.567375:0.414697:0.567375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
the total of the squares of the other two sides. :@0.069169:0.604671:0.502824:0.604671:0.502824:0.585480:0.069169:0.585480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
This is his theorem::@0.369265:0.669065:0.538406:0.669065:0.538406:0.649874:0.369265:0.649874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a2 + b2 = c2 :@0.397248:0.690731:0.518707:0.690731:0.518707:0.671540:0.397248:0.671540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.137526:0.678313:0.143540:0.678313:0.143540:0.662169:0.137526:0.662169:0.000000
 :@0.184125:0.678162:0.191027:0.678162:0.191027:0.662169:0.184125:0.662169:0.000000
5:@0.255507:0.770636:0.264855:0.770636:0.264855:0.754492:0.255507:0.754492:0.000000
 :@0.305444:0.770483:0.312346:0.770483:0.312346:0.754490:0.305444:0.754490:0.000000
2:@0.638381:0.708850:0.647813:0.708850:0.647813:0.692706:0.638381:0.692706:0.000000
 :@0.688404:0.708704:0.695306:0.708704:0.695306:0.692711:0.688404:0.692711:0.000000
6:@0.549761:0.767961:0.559394:0.767961:0.559394:0.751817:0.549761:0.751817:0.000000
 :@0.599986:0.767816:0.606888:0.767816:0.606888:0.751823:0.599986:0.751823:0.000000
4:@0.666594:0.840677:0.676964:0.840677:0.676964:0.824533:0.666594:0.824533:0.000000
 :@0.717555:0.840532:0.724457:0.840532:0.724457:0.824539:0.717555:0.824539:0.000000
3:@0.432931:0.852137:0.442413:0.852137:0.442413:0.835993:0.432931:0.835993:0.000000
 :@0.483004:0.851989:0.489906:0.851989:0.489906:0.835996:0.483004:0.835996:0.000000
8:@0.560869:0.931852:0.570569:0.931852:0.570569:0.915709:0.560869:0.915709:0.000000
 :@0.611150:0.931705:0.618052:0.931705:0.618052:0.915712:0.611150:0.915712:0.000000
7:@0.245512:0.913525:0.254793:0.913525:0.254793:0.897381:0.245512:0.897381:0.000000
 :@0.295376:0.913379:0.302278:0.913379:0.302278:0.897386:0.295376:0.897386:0.000000
46:@0.036649:0.960929:0.060652:0.960929:0.060652:0.941557:0.036649:0.941557:0.000000:0.000000
MUESTRA EDITORIAL:@0.248624:0.946277:0.888601:0.114341:0.744192:0.051768:0.104215:0.883703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095137:0.659264:0.095137:0.341881:0.077090:0.341881:0.077090:0.659264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000