The sides of a triangle are in the ratio of 3 : 4 : 5. If its perimeter is 36 cm, then what is its area?
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Answer: The area of triangle is 54 cm².
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let the sides be x.
then 3x,4x,5x
perimeter of triangle = 3x+4x+5x
36 = 12x
x = 36/12
x = 3cm
(1st side) a= 3×3 = 9cm
(2nd side) b = 4×3 = 12cm
(3rd side) c = 5×3 = 15cm
s(semi-perimeter) = a+b+c/2
9+12+15 / 2 = 36/2 = 18cm
Area of triangle =√s(s-a)(s-b)(s-c)
√18(18-9)(18-12)(18-15)
√18×9×6×3
√2916 = 54cm²
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