Math, asked by Hercules135, 7 months ago

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

Answers

Answered by HimnishVPParmar
6

Step-by-step explanation:

12x + 17x + 25x = 540

54x = 540

x = 10

sides are 120 cm , 170 cm , 250 cm....

solve in by herons formula....

√s(s-a)(s-b)(s-c)

area will come....

pls mark it as brainliest and follow me...

Answered by ItzVash003
9

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Solution →→

ratio of sides

12: 17:25

let them be

12x,17x, 25x respectively

perimeter of a triangle = sum of all sides

540 = 12x,17x, 25x

540 = 54x

x = 10

all sides measure

12x = 12×10 = 120

17x = 17× 10 = 170

25x= 25 × 10 = 250

it's semipetimeter = 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.

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