Question

find are of triangle ABC by using herons formula ABC of 9m,12m ,15m , respectively​

Answer 1

Step-by-step explanation:

Sides of the Triangle,

Let them be a, b and c , where,

a=9m

b=12m

c=15m

Heron's Formula =

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

where, s is semi perimeter and a,b,c are sides of the triangle.

Semi perimeter (s) = (a+b+c)/2

s = (9+12+15)/2

s = 36/2

s = 18

Therefore, s = 18.

Now on substituting a, b, c and s values in Heron's formula,

$\sqrt{18(18 - 9)(18 - 12)(18 - 15)}$

$= \sqrt{18(9)(6)(3)}$

$= \sqrt{9 \times 2 \times 9 \times 2 \times 3 \times 3}$

= 9×2×3

= 54 sq. m.

Therefore, the area of the triangle is 54 sq. m.

Hope it helps you.

Good luck.