Answer:
Isosceles triangle is a triangle that has two sides of equal length.
Perimeter of isosceles triangle is given by:
[tex]P = 2a+b[/tex] 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.
⇒[tex]a = 2x-1.5[/tex] 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
