The sides of a triangle are in the ratio of 3 : 4 : 5. If its perimeter is 36 cm, then what is its area?
Answers
Answered by
39
let the ratio be 3x,4x and 5x
perimeter=3x+4x+5x
36=12x
x=36/12
x=3
3x=9cm. 4x=12cm. 5x=15cm
s=(a+b+c)/2
=(9+12+15)/2
=(36)/2
=18 cm
Area of ∆=√s(s-a)(s-b)(s-c)
=√18(18-9)(18-12)(18-15)
=√18(9)(6)(3)
=√54*54
=54 cm²
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Answered by
2
Answer: THIS THE ANSWER FOR YOUR QUESTION MY FRIEND
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Step-by-step explanation:perimeter=3x+4x+5x
36=12x
x=36/12
x=3
3x=9cm. 4x=12cm. 5x=15cm
s=(a+b+c)/2
=(9+12+15)/2
=(36)/2
=18 cm
Area of ∆=√s(s-a)(s-b)(s-c)
=√18(18-9)(18-12)(18-15)
=√18(9)(6)(3)
=√54*54
=54 cm²
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