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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, in units, of each of the congruent sides of the
triangle?

Respuesta :

MrRoyal

Answer:

[tex]L = 3x + 3y - 3[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 7x + 5y - 8[/tex]

[tex]Base = x - y - 2[/tex]

Required

Determine the length of the congruent sides

Since, the triangle is an isosceles triangle, the perimeter would be calculated using

[tex]P = B + 2L[/tex]

Where P represents Perimeter and B represents Base

So:

[tex]7x + 5y - 8 = x - y - 2 + 2L[/tex]

Solve for 2L

[tex]2L = 7x + 5y - 8 -x + y + 2[/tex]

[tex]2L = 7x -x + 5y + y- 8 + 2[/tex]

[tex]2L = 6x + 6y- 6[/tex]

Divide through by 2

[tex]L = 3x + 3y - 3[/tex]

Hence; The length (L) of the congruent sides is [tex]3x + 3y - 3[/tex]