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The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

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The sides of the triangle are 3x, 4x and 5x

3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5

first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm
fichoh

The length of sides a, b and c of the triangle are : 22.5 cm, 30 cm and 37.5 cm respectively

A triangle has 3 sides,

Let the sides = a, b, c with ratio 3 : 4 : 5

Perimeter of the triangle = 90cm

Recall :

Perimeter of a triangle = a + b + c

The length of each side can be calculated thus :

Length = (ratio of side ÷ sum of ratios) × perimeter

Sum of ratios = 3 + 4 + 5 = 12

Hence, the length of each side goes thus :

Side a = (3/12) × 90 = 22.5 cm

Side b = (4/12) × 90 = 30 cm

Side c = (5/12) × 90 = 37.5 cm

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