Question

The area of triangle with sides 9m,8m,13m using herons formula

Answer 1

Step-by-step explanation:

Solution

Using heron's formula :-

Area =

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

s = a + b + c / 2

= 28/2

= 14

so area of the given triangle

=

$\sqrt{ 14(14 - 9)(14 - 8)( 14- 13)}$

=

$\sqrt{14 \times 5 \times 6 \times 1}$

=

$\sqrt{2 \times 7 \times 5\times 2 \times 3 \times 1}$

$2\sqrt{105} \: {m}^{2}$

=