Question

5. The sides of an equilateral triangle is 50 cm. Find its area
using Heron's formula.
​

Answer 1

Heron's Formula

$\sqrt{s(s - a)(s - b)(s - c)}$

Where,

$s = \frac{50 + 50 + 50}{2 } = 150 \div 2 = 75$

Applying Heron's formula,

$\sqrt{75(75 - 50)(75 - 50)(75 - 50)}$

=

= √5 x 5 x 3 x 5 x 5 x 5 x 5 x 5 x 5

= √ 3 x 5 x 5 x 5 x 5

= 625√3 m^2