The perimeter of an isosceles triangle is 83 inches. Each of the two congruent sides of the triangle has a

Question

The perimeter of an isosceles triangle is 83 inches. Each of the two congruent sides of the triangle has a length of 24 inches. What is the length, in inches, of the third side?

Accepted Answer

The correct answer is 35 . It&rsquo;s given that the perimeter of an isosceles triangle is 83 inches and that each of the two congruent sides has a length of 24 inches. The perimeter of a triangle is the sum of the lengths of its three sides. The equation 24 + 24 + x = 83 can be used to represent this situation, where x is the length, in inches, of the third side. Combining like terms on the left-hand side of this equation yields 48 + x = 83 . Subtracting 48 from both sides of this equation yields x = 35 . Therefore, the length, in inches, of the third side is 35 .

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