5 Sides of triangle in the ratio of 12:17:25 and its perimeter is 540 cm. find its area.
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Answered by
4
Answer:
Let the sides of the triangle be 12x, 17x and 25x
Perimeter of the triangle = 540 cm
∴ 12x + 17x + 25x = 540
⇒ 54x = 540 ⇒ x = 10
Let a = 12x = 12 x 10 = 120 cm
b = 17x = 17 x 10 = 170 cm
c = 25x = 25 x 10 = 250 cm
s = (a + b + c)/2 = (120 + 170 + 250)/2 = 540/2
= 270 cm
∴ Area of triangle = root under (√s(s -a) (s -b)(s -c))
= root under (√270(270 - 120)(270 - 170)(270 - 250))
= root under (√270 x 150 x 100 x 20)
= 100 under root(√27 x 15 x 20)
= 100 x 9 x 5 x 2
= 9000 cm2
Answered by
2
Answer:
a=12x, b=17x, c=25x
perimeter =a +b+c
540= 12x+17x+25x
540=54x
540/54=x
10=x
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