Question

find area of triangle whose sides are 25m 60m 65m​

Answer 1

$\underline{\bold{Heron's\:Formula}}$

$\underline{\bold{Given:}}$

● 1st length = 25m

● 2nd length = 60m

● 3rd length = 65m

$\underline{\bold{To\:Find}}$

Area of triangle

Let calculate the perimeter firstly ,

We know that,

$\boxed{\bold{\dfrac{Sum\:of\:all\:sides}{2}}}$

According to the question,

$\implies\bold{Perimeter = \dfrac{25m + 60m + 65m}{2}}$

$\implies\bold{75m}$

$\therefore{\bold{Perimeter =75m}}$

Let find the area of the triangle by using heron's formula ,

We know that,

$\boxed{\bold{Area = \sqrt{p(p-a)(p-b)(p-c)}}}$

$\implies\bold{Area = \sqrt{75\times 50\times 15\times 10}}$

$\implies\bold{750}$

$\therefore{\bold{Area =750{m}^{2}}}$