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, 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. 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 - a52
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