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## The perimeter of an isosceles triangle is 7x+5y-8 units, and the length of the base of the triangle is x-y-2 units. What is the length of ea

Question

The perimeter of an isosceles triangle is 7x+5y-8 units, and the length of the base of the triangle is x-y-2 units. What is the length of each of the congruent sides of the triangle?

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Mathematics
6 months
2021-07-27T11:46:16+00:00
2021-07-27T11:46:16+00:00 1 Answers
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## Answers ( )

Answer:

The length of the congruent side is 3x+3y-3 units

Step-by-step explanation:

An isosceles triangle has 2 of its side equal.

The perimeter is calculated by adding the length of all the sides.

The difference between the perimeter and the base equals the sum of the two congruent sides

Thus;

(7x + 5y -8) – (x -y -2)

= 7x + 5y -8 -x + y + 2

Collect like terms

7x – x + 5y + y -8 + 2

= 6x + 6y -6

Now dividing this by 2 will give the length of the individual congruent side

(6x + 6y -6)/2 = 3x + 3y – 3