Question

the side of triangle are in the ratio 12:17:25, if the permeter of the triangle is 540 cm find the are of triangle.​

Answer 1

Step-by-step explanation:

let the sides be 12x 17x and 25x

12x+17x+25x=540

54x=540

x=10

the sides are 120,170 and 250cm

s=270

$\sqrt{s(s - a)(s - b)(s - c)} \\ \sqrt{270(150)(100)(20)} \\ \sqrt{27 \times 15 \times 10 \times 2 \times 10 \times 10 \times 10 \times 10} \\ 100 \sqrt{9 \times 3 \times 5 \times 3 \times 2 \times 5 \times 2} \\ 100 \times 3 \times 3 \times 5 \times 2 \\ 100 \times 90 \\ 90000 {cm}^{2}$