The perimeter of an isosceles triangle is 36 feet. Each of the two congruent sides of the triangle has a

Question

The perimeter of an isosceles triangle is 36 feet. Each of the two congruent sides of the triangle has a length of 10 feet. What is the length, in feet, of the third side?

Accepted Answer

Choice C is correct. It&rsquo;s given that the perimeter of an isosceles triangle is 36 feet and that each of the two congruent sides has a length of 10 feet. The perimeter of a triangle is the sum of the lengths of its three sides. The equation 10 + 10 + x = 36 can be used to represent this situation, where x is the length, in feet, of the third side. Combining like terms on the left-hand side of this equation yields 20 + x = 36 . Subtracting 20 from each side of this equation yields x = 16 . Therefore, the length, in feet, of the third side is 16 . Choice A is incorrect. This would be the length, in feet, of the third side if the perimeter was 30 feet, not 36 feet. Choice B is incorrect. This would be the length, in feet, of the third side if the perimeter was 32 feet, not 36 feet. Choice D is incorrect. This would be the length, in feet, of the third side if the perimeter was 38 feet, not 36 feet.

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