Question

the sides of a triangle are in the ratio of 13:14:15 and it's perimeter is 84 cm.find the area of the triangle

Answer 1

Let,

First side = 13 x

Second side = 14 x

Third side = 15 x

Now,

As we know that,

Perimeter = Sum of all sides

Also, Perimeter = 84 cm ...( Given )

•°•

84 = 13 x + 14 x + 15 x

84 = 42 x

x = 84 / 42

x = 2

Hence,

First side = 13 x = 13 ( 2 ) = 26 cm

Second side = 14 x = 14 ( 2 ) = 28 cm

Third side = 15 x = 15 ( 2 ) = 30 cm

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Answer 2

hey mate her is ur required answer

ratio = 13 : 14 : 15

sides are 13x 14x 15x

perimeter = 13x + 14x + 15x

42x = 84

x = 2

so sides are

13 x = 13*2 = 26
14 x = 14*2 = 28
15 x = 15*2 = 30

S = 84/2 = 42

$area \: of \: triangle \: = \sqrt{s(s - a)(s - b)(s -c )} \\ \\ = \sqrt{42(42 - 26)(42 - 28)(42 - 30)} \\ \\ = \sqrt{42 \times 16 \times 14 \times 12} \\ \\ = 4 \times 7 \times 2 \times 3 \times 2 \\ \\ = 336 {cm}^{2}$

Hope this helps you

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