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 30cm?

Solution:

Consider x as the scale factor

3x + 4x + 5x = 30

By further calculation

12x = 30

Divide both sides by 12

x = 2.5

By multiplying the value of x

Smallest side = 3(2.5) = 7.5cm

Median side = 4(2.5) = 10cm

Biggest side = 5(2.5) = 12.5cm

So the perimeter = 7.5 + 10 + 12.5 = 30cm

Therefore, the length of each side is 7.5cm, 10cm and 12.5cm.

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 30cm?

Summary:

The sides of a triangle are in the ratio 3:4:5. The length of each side if the perimeter of the triangle is 30cm is 7.5cm, 10cm, and 12.5cm.