Question

Write the following as an algebraic expression. Then simplify. The perimeter of the isosceles triangle with a base length of y - 6 and legs of length y. The answer is ________

Answer 1

The perimeter of an isosceles triangle with a base length of y - 6 and legs of equal length y is 3y - 6 after combining like terms.

Step-by-step explanation:

To find the perimeter of an isosceles triangle with a base length of y - 6 and legs of equal length y, you add the lengths of all three sides. An isosceles triangle has two sides of equal length (the legs), and one base that can be of a different length. So the perimeter P is given by:

P = base + leg1 + leg2

Since the base is y - 6 and both legs are y, we have:

P = (y - 6) + y + y

To simplify, combine like terms:

P = 3y - 6

Therefore, the algebraic expression for the perimeter of the isosceles triangle is 3y - 6.