Question
Sides of a triangle are in the ratio 13 : 14 : 15 and its perimeter is 84 cm. Find its area.
Solution
Let the sides of the triangle be 13k, 14k and 15k (in cm). Then,
perimeter = a + b + c
= 13k + 14k + 15k
= 42k cm
According to the questions,
42k = 84
∴ Sides are 26 cm, 28 cm and 30 cm.