The perimeter of a triangle is 40cm and its area is 60 cm^2. If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is

Explanation:

Let side of triangle are, a, b and c respectively

∴ largest side given

= 17 cm

= Perimeter = a + b + c

= 40 cm (given)

area = 60 cm2 (given)

In such questions take the hekp of triplets which form right angle triangle

So, here we have a side 17 cm

⇒ by triplet we get sides 8 and 15

⇒ check the sides

perimeter=8+15+17=40

area=1\2×8×15⇒60

Hence sides are 15, 8.

smaller side = 8 cm