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15 votes
15 votes
Two sides of a triangle have the same length. The third sido measures 7 m less than twice the common length. The perimeter of the triangle is 17 m. What are the lengths of the three sides?

User NobodyMan
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1 Answer

10 votes
10 votes

Answer:

6 m, 6 m, 5 m

Explanation:

If x is the common length then the perimeter is the sum of side lengths:

x + x + (2x-7) = 17

4x = 24 . . . . . . . . . add 7

x = 6 . . . . . . . . . . divide by 4

2x -7 = 12 -7 = 5 . . . find the length of the 3rd side

The side lengths are 6 m, 6 m, and 5 m.

User Najaf Ali
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3.3k points