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 _
Answers
Answered by
0
Answer:
3x+4x+5x=216
x=18
perimeter of triangle=54cm
Answered by
7
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
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