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Sides of triangle are in the ratio 12:17:25and it's perimeter is 540cm find its are

Posted by Abhishek Singh 5 years, 3 months ago

CBSE > Class 09 > Mathematics

2 answers

Abhishek Singh 4 years, 10 months ago

Thankyou

0Thank You

Yogita Ingle 5 years, 3 months ago

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 =√ (s)(s-a)(s-b)(s-c)}
where s is the semipetimeter and a,b,c
area the sides of the triangle.

√ {( 270)(270-120)(270-170)(270-250)}

= 9000cm^2.

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CBSE > Class 09 > Mathematics