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.
Answer:
see explanation
Step-by-step 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
