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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?

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Answer:

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

User Projectile Fish
by
7.0k points
12 votes

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.

User Luxi Liu
by
8.1k points

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