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The lengths of the sides of a triangle are in the ratio of 6:6:5. The perimeter of the triangle

is 34 centimeters. Find the length of each side of the triangle.

User Bakaburg
by
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2 Answers

3 votes

Answer:

12, 12 and 10 cm.

Explanation:

6 + 6 + 5 = 17

So one side = 6/17 * 34 = 12 cm

One other side is also 12 cm

The third side = 5/17 * 34 = 10 cm.

User Tyralcori
by
4.7k points
6 votes

Hello!

Answer:

12 cm, 12 cm, 10 cm.

Explanation:

Given:

Perimeter, or P = 34 cm

Ratio of sides = 6 : 6 : 5

To find the length of each side, we can use a variable in the ratio to find the perimeter:

34 = 6x + 6x + 5x

Combine like terms:

34 = 17x

Solve for x:

34/17 = 17x/17; x = 2

Plug in this value of "x" into each expression for the side-lengths:

6(2) = 12 cm

6(2) = 12 cm

5(2) = 10 cm

Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.

Hope this helped you! :)

User Nex Mishra
by
5.6k points