sat suite question viewer
Algebra
/ Linear equations in one variable
Difficulty: Easy
The perimeter of an isosceles triangle is inches. Each of the two congruent sides of the triangle has a length of inches. What is the length, in inches, of the third side?
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Explanation
The correct answer is . It’s given that the perimeter of an isosceles triangle is inches and that each of the two congruent sides has a length of inches. The perimeter of a triangle is the sum of the lengths of its three sides. The equation can be used to represent this situation, where is the length, in inches, of the third side. Combining like terms on the left-hand side of this equation yields . Subtracting from both sides of this equation yields . Therefore, the length, in inches, of the third side is .