Question

The sides of a triangle are in ratio 13:14:15 and its perimeter is 84 cm. Find the area of the triangle.

Answer 1

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Answer:

area of triangle = 336 cm^2

Step-by-step explanation:

Let the sides be 13x, 14x and 15x

Perimeter = Sum of all sides

84 = 13x + 14x + 15x

42x = 84

x = 2

So, the sides are a = 26 cm, b = 28 cm and c = 30 cm

s = p/2 = 84/2 = 42 cm

Area = √s(s - a)(s - b)(s - c)

= √42(42 - 26)(42 - 28)(42 - 30)

= √42*16*14*12

= 4√14*14*36

= 4*14*6

= 336 cm^2

So, area of triangle = 336 cm^2