Math, asked by ayushkumar1979, 11 months ago

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

Answers

Answered by palakbansal303
5

Take the side as 13x,14x,15x and then add them and put = to84

The value of x will come.

Then apply it in all 3 sides

U will get your answer




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Answered by madhu12487
5
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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