Question

Find out sums using Herons Formula
AB= 12
BC=17
Ac=15​

Answer 1

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Side of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540 cm its area.

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Perimeter of the triangle = 540 cm

⇒ Semi–perimeter of the triangle,

∴ The sides are in the ratio of 12 : 17 : 25.

∴ a = 12x cm, b = 17x cm, c = 25x cm

∴ 12x + 17x + 25x = 5470

⇒ 54x = 540

∴ a = 12 × 10 = 120 cm

b = 17 × 10 = 170 cm

c = 25 × 10 = 250 cm

⇒ (s - a) = (270 - 120) cm = 150 cm

(s - b) = (270 - 170) cm = 100 cm

(s - c) = (270 - 250) cm = 20 cm

∴ Area of the triangle= 9.000 cm2

this is the answer

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