Question

Derive the formula for Area of Equilateral triangle ($\frac{\sqrt{3}}{4} a^{2}$) from Heron's formula

Answer 1

here is your answer!!!!! ❤

Equilateral triangles have sides of all equal length and angles of 60°. To find the area, we can first find the height. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles.

Heron's formula is a formula that can be used to find the area of a triangle, when given its three side lengths. It can be applied to any shape of triangle, as long as we know its three side lengths. The formula is as follows: The area of a triangle whose side lengths are a , b , a, b, a,b, and c c c is given by.

hope it will be helpful for you!!!!