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22 April, 06:40

12. A triangle has side lengths as follows: 2x - 3, 8x + 1 and 5x - 8. Find an expression to find the perimeter of the triangle and solve for x, to find each side length. If the Perimeter is equal to 215 inches.

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  1. 22 April, 06:55
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    15x - 10 = P

    Step-by-step explanation:

    (2x - 3) + (8x + 1) + (5x - 8) = 215

    2x - 3 + 8x + 1 + 5x - 8 = 215

    collect the like terms

    15x - 10 = 215

    add 10 to each side

    15x = 225

    divide each side by 15

    x = 15

    sub x = 15 into the original equation

    2 (15) - 3 + 8 (15) + 1 + 5 (15) - 8 = 215

    therefore the expression to find the perimeter (P) o the triangle is:

    15x - 10 = P
  2. 22 April, 09:16
    0
    Step-by-step explanation:

    The perimeter of a plane figure is the distance around it. The formula for determining the perimeter of a triangle is expressed as

    Perimeter = a + b + c

    Where a, b and c are the length of each side of the triangle.

    The triangle has side lengths as follows: 2x - 3, 8x + 1 and 5x - 8. Therefore, the expression to find the perimeter of the triangle is

    2x - 3 + 8x + 1 + 5x - 8

    = 2x + 8x + 5x - 3 + 1 - 8

    = 15x - 10

    If the Perimeter is equal to 215 inches, it means that

    15x - 10 = 215

    15x = 215 + 10 = 225

    x = 225/15

    x = 15

    The length of the sides are

    2x - 3 = 2 * 15 - 3 = 27 inches

    8x + 1 = 8 * 15 + 1 = 121 inches

    5x - 8 = 5 * 15 - 8 = 67 inches
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