Question

The sides of the triangle are in ratio 5:12:13 and its perimeter is 150. find area of the triangle

Answer 1

let the first side be = 5x
the second side be = 12x
the third side be = 13x
perimeter is 150
perimeter of triangles = sum of all sides
150=5x+12x+13x
150= 30x
150/30=x
5=x
first side is 5x so 5×5=25
second side is 12x so 12×5=60
third side is 13x so 13×5=65.

hope it helps

Answer 2

5x + 12x + 13x = 150
30x = 150
x = 5
--------------
5(5) = 25
12(5) = 60
13(5) = 65

The Triangle is a right triangle since,

5(5)  + 12(12) = 13(13)

25 + 144 = 169

169 = 169

So the area is,

A = (1/2)*bh

A=(1/2)*25*(60)

A=750 M square