Question

If the sides of a triangle are in the ratio 2 : 4 : 5 and the perimeter of the triangle is 44 cm, the longest side of the triangle is .

• A. 16 cm
• B. 20 cm
• C. 24 cm

Answer 1

The correct option is B 20 cm

Given: Ratio of sides = 2 : 4 : 5 and perimeter = 44 cm
Let the sides of the triangle are 2x, 4x, and 5x.

Perimeter of the triangle = 2x + 4x + 5x
44 = 11x
Divide both the sides by 11
x = 4
So, sides of the triangle are 8 cm, 16 cm, and 20 cm.
Hence, the longest side of the triangle = 20 cm