the area of a triangle is 216 cm^2 square and its sides are in the ratio 3 : 4 : 5. Find the perimeter of the triangle
chattni13:
can you do this step by step
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Answered by
118
Let the sides be 3x,4x,5x
semi perimeter is 6x
By Heron’s formula under root 6x(6x-3x)(6x-4x)(6x-5x)=216
Under root6x(3x)(2x)(x)=216
Under root36x^4=216
6x^2=216
x^2=36
X=6cm
So, sides are 18 cm,24cm,30cm
Perimeter= 72cm
semi perimeter is 6x
By Heron’s formula under root 6x(6x-3x)(6x-4x)(6x-5x)=216
Under root6x(3x)(2x)(x)=216
Under root36x^4=216
6x^2=216
x^2=36
X=6cm
So, sides are 18 cm,24cm,30cm
Perimeter= 72cm
is there any other way
There is another way.. since sides are in ratio, 3:4:5, it is a right angled triangle. Area = 1/2 × 3x × 4x = 216... You can solve from there
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18
Answer:
18 cm, 24 cm.and 30 cm
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