Each of the two congruent sides of an isosceles triangle has length 2x-1.5, and the third side has length x+3. label the sides of the triangle. then write two equivalent expressions for it perimeter

Isosceles triangle is a triangle that has two sides of equal length.

Perimeter of isosceles triangle is given by:

or P = a+a+b where a is the equal of length sides  and b is the unequal side length side.

Given: Two congruent sides each of has length = 2x-1.5 unit and third side has length x+3.

⇒ and b = x+3

By definition of Perimeter;

P = 2a+b

P=2(2x-1.5)+x+3

P= 4x - 3 + 3                   [Using distributive property]

Simplify:

P = 4x

Therefore, two equivalent expression for the perimeter of isosceles triangle are;

P=2(2x-1.5)+x+3  or P = 2x -1.5 + 2x-1.5 + x+3

P = 4x

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