What’s the number of Triangles in irregular hexagon ?

June 1, 2017 § Leave a comment

Hello Everyone 🙂
we have this hexagon with sides’ lengths from top to right 1,2,1,2,1,2 cm respectively,c888b890119f18644ad25f57613b8d522d7b8152 and hope to find what’s exactly how many triangles can be formed in this irregular hexagon ?
First: we’ll join three small regular triangles to sides a1,a3, a5 = 1, 1, 1 respectively of the hexagon.c888b890119f18644ad25f57613b8dwd7b8152.png then we have a big one triangle.
Second:  if we add a1 to a2 to a3 then we get the length of one side of the big triangle and the remaining equal it.
Third:  then we can say that the hexagon area = (a1 + a2 + a3)2 - a12 - a32 - a5
if we considered that the length of one small triangle equal to 1 and consider the big triangle have sides of X cm then we have area
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