a triangle with area 28 square inches has a height that is twi less than four times the base. find the base and the height if the tringle?

Question

a triangle with area 28 square inches has a height that is twi less than four times the base. find the base and the height if the tringle?

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Verity 4 years 2021-08-15T23:49:41+00:00 1 Answers 14 views 0

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  1. Neala
    0
    2021-08-15T23:51:20+00:00
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    Answer:

    b = 4 inches and h = 14 inches

    Step-by-step explanation:

    Given that,

    The area of a triangle, A = 28 sq inches

    Height is twice less than 4 times the base.

    H = 4b-2, b is base

    We know that,

    The area of a triangle is given by :

    A=\dfrac{1}{2}bh\\\\28=\dfrac{1}{2}\times b\times (4b-2)\\\\56=4b^2-2b\\\\28=2b^2-b\\\\b=4\ inches,-3.5\ inches

    Base = 4 inches

    Height = 4(4)-2

    = 14 inches

    Hence, this is the required solution.

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