The sides of a triangle are in the ratio 12 : 14 :25 and its perimeter is 25.5 cm. The largest side of the triangle is

Question

Philoid · Accepted Answer

Given: Ratio of Sides = 12: 14: 25

Perimeter = 25.5 cm

Let the sides be,

a = 12x cm

b = 14x cm

c = 25x cm

We know that,

Perimeter of a triangle = a + b + c

⇒ 25.5 cm = 12x cm + 14x cm + 25x cm

⇒ 25.5 cm = 51x cm

⇒ x = 0. 5

Therefore,

a = 12x cm = 12 × 0.5 cm = 6 cm

b = 14x cm = 14 × 0.5 cm = 7 cm

c = 25x cm = 25 × 0.5 cm = 12.5 cm

Clearly largest side is c = 12.5 cm