Question

Prove that the area of an equilateral triangle described on the side of a equal to half the area of an equilateral triangle described on of its diagonal

Answer 1

Answer:

If the length of the side of the square is 'a'. Then by pythagoras theorem length of diagonal of square=√a2+a2=√2a2=√2a. Hence, we proved 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 its diagonal.