Question

solve this :-


@moderator
@brainly star
@best user

The sides of a triangle are in the ratio of 12: 17: 25 and its perimeter is 540cm. Find its area ??


↬ kindly don't spam
↬ best answer needed.


​

Answer 1

Step-by-step explanation:

answer is here

hope it is helpful

Answer 2

Question :-

The sides of a triangle are in the ratio of 12: 17: 25 and its perimeter is 540cm. Find its area.

Given :-

• the ratio of the sides of the triangle is given as 12:17:25

To find :-

• area

Formula :-

↬ heron's formula :-

$\sf↬ \sqrt{s(s - a)(s - b)(s - c)}$

Solution :-

let the common ratio between the sides be X

so therefore the sides are 12x,17x,25x

and perimeter of the triangle = 540cm

$\: \: \: \: :\implies\sf 12x + 17x + 25x = 540cm \\ \\ \\ \: \: \: \: :\implies\sf \: 54x = 540cm \\ \\ \\ \: \: \: \: :\implies\sf \: x = 10$

now the sides of the triangle are 120cm,170cm and 250cm

so the semi perimeter of the triangle = 540/2 = 270cm

now, by using heron's formula :-

$\: \: \: \: :\implies\sf \: \sqrt{s(s - a)(s - b)(s - c)} \\ \\ \\ \: \: \: \: :\implies\sf \: \sqrt{270(270 - 120)(270 - 170)(270 - 250} {cm}^{2} \\ \\ \\ \: \: \: \: :\implies\sf \: \sqrt{270 \times 150 \times 100 \times 20 } {cm}^{2} \\ \\ \\ \: \: \: \: :\implies\sf \: 9000 {cm}^{2}$

$\\ \\ {\small{\bold{\underline{\therefore\: The \: area \: of \: the \: triangle \: is \: \bold{\green{9000 {cm}^{2} }}\: .}}}}$