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21 January, 11:52

The perimeter of the scalene triangle is 54.6 cm.

A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b.

Which equation can be used to find the value of b if side a measures 8.7 cm?

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Answers (2)
  1. 21 January, 12:02
    0
    4 (8.7) + b = 54.6.

    b = 19.8 cm.

    Step-by-step explanation:

    The sum of the sides = the perimeter = 3a + a + b = 54.6.

    Now a = 8.7, so:

    3 (8.7) + 8.7 + b = 54.6

    4 (8.7) + b = 54.6.

    b = 54.6 - 4 (8.7)

    b = 19.8.
  2. 21 January, 12:04
    0
    Answer with Step-by-step explanation:

    The perimeter of the scalene triangle is 54.6 cm.

    The base of the triangle is 3a

    where a is the shortest side

    and other side=b

    We know that perimeter is equal to sum of length of each side

    i. e. 3a+a+b = 54.6

    i. e. 4a+b = 54.6

    i. e. b = 54.6-4a

    when a=8.7 cm

    b = 54.6-4*8.7

    = 54.6-34.8

    = 19.8

    Hence,

    Equation used to find b is:

    b = 54.6-4a

    and value of b when a=8.7 cm is:

    b = 19.8 cm
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