Question

the area of a triangle is 216 cm ² and its side is in the ratio of 3 : 4 :5 , then perimeter of the triangle is _​

Answer 1

Answer:

3x+4x+5x=216

x=18

perimeter of triangle=54cm

Answer 2

Answer: Perimeter =72cm

Step-by-step explanation:

Area=216cm²

Let the sides be 3x , 4x and 5x.

Then, semi-perimeter =( 3x+4x+5x)/2= 6x

A.T.Q.

√(6x)(6x-3x)(6x-4x)(6x-5x)=216

√(6x×3x×2x×1x) = 216

√36x⁴=216

6x²=216

x²=36

x=6

Therefore, sides are 3x=18cm,4x=24cm,5x=30cm

Perimeter=18+24+30=72cm