Answer:
3x + 3y - 3 units each
Step-by-step explanation:
An isosceles triangle is one that has two equal sides and angles.
given: perimeter = 7x + 5y - 8 units
base length = x - y -2 units
The length of each congruent sides can be determined as follows:
Let the length of the sides be represented by t. Since the sides have equal length, then;
7x + 5y - 8 = t + t + (x - y -2)
7x + 5y - 8 = 2t + (x - y -2)
⇒ 2t = 7x + 5y - 8 - (x - y -2)
= 7x + 5y - 8 - x + y + 2
collecting like terms,
2t = 6x + 6y - 6
= 2(3x + 3y - 3)
divide both sides by 2,
t = 3x + 3y - 3
Therefore, the congruent sides are 3x + 3y - 3 units each.
