Question

Find the area of a triangular land with sides 100 m , 100 m and 160 m.​

Answer 1

Answer:

4800m^2

Step-by-step explanation:

let the sides of the triangle be a,b and c

let a=100m

b=100m

c=160m

we have heron's formula

$area \: of \: \: triangle = \sqrt{s(s - a)(s - b)(s - c)} \: where \: s = \frac{a + b + c}{2}$

so s= 100+100+160/2

=360/2

=180m

$area = \sqrt{180(180 - 100)(180 - 100)(180 - 160)}$

$= \sqrt{180(80)(80)(20)}$

$= 80 \sqrt{180 \times 20} \\ = 80 \sqrt{20 \times 9 \times 20} \\ = 80 \times 20 \times \sqrt{9} \\ = 1600 \times 3 \\ = 4800m {}^{2}$