Question

Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm. Find its area
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Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Let the common multiple be x

12x, 17x, 25x

Perimeter = 540

12x + 17x + 25x = 540

54x = 540

x = 10

Sides are 12 x 10 = 120

17 x 10 = 170

25 x 10 = 250

it's semiperimeter = 540/2

= 270

using heron's formula area of the triangle =

root {(s)(s-a)(s-b)(s-c)}

where s is the semipetimeter and a,b,c

area the sides of the triangle.

root {( 270)(270-120)(270-170)(270-250)}

= 9000cm^2.