The perimeter of a triangle is 450 and its sides are in the ratio 13 12 5 find the area of the triangle
Answers
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Step-by-step explanation:
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Answer:
let the sides of the triangle be 13x, 12x, 5x
therefore 13x + 12x + 5x = 450
30x = 450
x = 450/30
x = 15
i.e, 13x = 195, 12x = 180, 5x = 75
therefore semiperimeter = 450/2
= 225 cm
area = √ 225( 225 - 195) (225- 180) (225 - 75)
= √225 X 30 X 45 X 150
= √15 X 15 X 3 X 10 X 5 X 9 X 3 X 5 X 10
= since 15, 3, 5, 10 are common
= 15 X 3 X 3 X 5 X 10
therefore the area = 6750 cm^2
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