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

Given Ratio - 13:14:15

This means that the sides are 13x, 14x, 15x

Now, the Perimeter is the sum of all sides which is 84cm.

So, we can make an equation -

13x + 14x + 15x = 84cm

42x = 84 cm
$x = \frac{84}{42}$
x = 2cm

Now, The sides are-

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

Answer 2

➡your answer is given :----

➡Let the sides be in 13x 14x 15x

➡Perimeter of ∆ =Sum of side

➡84 = 13x+ 14x +15x

➡84=42x

➡x = 2

➡sides are = 26,28,30

➡Area of traingle =
Can be found by Heron's formula

=√s(s-a)(s-b)(s-c)

where s= perimter of ∆/2

➡a,b,c are its sides

➡by solving u will get the answer .')

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