Answer to Question #144246 in Geometry for sazzadur rahman

Question

You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of x. Derive an expression for the enclosed area A(x) with respect to the angle

Answer 1

A = 1/2 × (a/2)² sin x

A =( a² /8) sinx