Question

the side of a trimgle are in the ratio 5:12:13 and its perimeter is 180m . the area of the triangle is equal to​

Answer 1

let the sides of the triangle be 5x, 12x,13x

5x + 12x + 13x = 180

30x = 180

x = 180/30 = 6

the sides of triangle are 30cm,72cm,78cm

Answer 2

Step-by-step explanation:

The side of the triangle are in the ratio 5:12:13.

Therefore, let the sides be 5x, 12x, 13x.

Perimeter = 180cm

Also, Perimeter = 5x + 12x + 13x

Therefore,

180 = 5x + 12x +13x

= 30x = 180

= x = 180/30 = 6.

Area:-

To find area we use the formula 1/2*b*h

So,

Height = 5x = 5*6 = 30m

Base = 12x = 12*6 = 72m

Therefore,

Area = 1/2*30*72 = 1080$m^{2}$

Note : You can take either 5x as base and 12x as height, or 12x as base and 5x as height. You cannot take 13x as it hypotenuse. 13x is hypotenuse because the longest side is always the hypotenuse, and 13x is the longest side.

Here is your answer. Hope it helps!