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 th

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

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Lệ Thu 5 years 2021-07-30T04:00:12+00:00 1 Answers 37 views 0

Answers ( )

  1. Sigrid
    0
    2021-07-30T04:01:34+00:00
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    Answer:

    L = 3x + 3y - 3

    Step-by-step explanation:

    Given

    Perimeter = 7x + 5y - 8

    Base = x - y - 2

    Required

    Determine the length of the congruent sides

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

    P = B + 2L

    Where P represents Perimeter and B represents Base

    So:

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

    Solve for 2L

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

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

    2L = 6x + 6y- 6

    Divide through by 2

    L = 3x + 3y - 3

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

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )