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each of two congruent sides of an isosceles triangle is 8 inches less than twice the base. the perimeter of the triangle is 79 inches. what is the length of the base ?

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MathPhys

Answer:

19 inches

Step-by-step explanation:

If x is the length of the base, then the congruent legs are each 2x−8.

The perimeter is the sum of all three sides:

79 = x + 2x−8 + 2x−8

79 = 5x − 16

5x = 95

x = 19

The base is 19 inches long.

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