Question
Sides of a triangle are in the ratio of 12 :17 : 25 and its perimeter is 540 cm. Find its area.
Solution
Let the sides of the triangle be 12k, 17k and 25 k cm.
Then,
Perimeter = 12k+ 17k + 25k = 54k
According to the question,
54k = 540
k = 10
a = 12k = 12 x 10 = 120 cm
b = 17k = 17 x 10 = 170 cm
c = 25k = 25 x 10 = 250 cm
