Question

prove that the area of an equilateral triangle described on one side of the square is equal to half the area of the equilateral triangle described on one side of its diagonal.​

Answer 1

Answer:

We have to prove that the area of an equilateral triangle described on one side of the square is equal to half the area of the equilateral triangle described on one of it's diagonal. That means, Area(△AFB)Area(△AEC)=12. We know that two equilateral triangles are similar. So, In △AEC and △AFB, by SSS congruency.