Question

The sides of a triangle are in the ratio 2:3:4 and the longest side is 20 cms longer than the shortest side. Compute the length of each side.

Answer 1

Answer:

40 cm ; 30cm ; 20cm

Step-by-step explanation:

Given that:

Sides of a triangle are in the ratio 2:3:4

Let :

length of the sides = 2x, 3x, 4x

longest side = 4x

Mid side = 3x

Shortest side = 2x

Length of longest side is 20 cm longer than shortest side

4x = 2x + 20 - - (1)

4x - 2x = 20

2x = 20

x = 10

Hence,

longest side = 4x = 4*10 = 40 cm

Mid side = 3x = 3 * 10 = 30 cm

Shortest side = 2x = 2 * 10 = 20 cm