Question

The lengths of the sides of a triangle are in the extended ratio 4:5:6. The perimeter of the triangle is 75 cm. What are the lengths of the sides?

Answer 1

see explanation

Explanation:

sum the parts of the ratio , 4 + 5 + 6 = 15 parts

divide perimeter by 15 to find the value of one part of the ratio.

75 cm ÷ 15 = 5 cm , then

4 parts = 4 × 5 cm = 20 cm

5 parts = 5 × 5 cm = 25 cm

6 parts = 6 × 5 cm = 30 cm

The sides of the triangle are 20 cm , 25 cm , 30 cm

Answer 2

4x + 5x + 6x = 75

15x = 75

x = 5 cm

4x = 4*5 = 20 cm

5x = 5*5 = 25 cm

6x = 6*5 = 30 cm

Answer: 20 cm, 25 cm, 30 cm.