The height of a triangle is 7 feet greater than the base. the area of the triangle is 247 ft.² find the length of the base and the height of

Question

The height of a triangle is 7 feet greater than the base. the area of the triangle is 247 ft.² find the length of the base and the height of the triangle

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Khánh Gia 5 months 2021-09-05T12:11:38+00:00 1 Answers 2 views 0

Answers ( )

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    2021-09-05T12:12:41+00:00

    Answer:

    Base = 19

    Height = 26

    Step-by-step explanation:

    Given :

    Height, h = base, b + 7 feets

    The area of triangle, A = 247 ft²

    The area of a triangle is given by :

    A = 1/2 * base * height

    247 = 1/2 * b * (b + 7)

    247 = 0.5 * b * (b + 7)

    247 = 0.5b² + 3.5b

    0.5b² + 3.5b – 247 = 0

    Solving the quadratic equation ; using the quadratic equation solver, the roots are :

    b = -26 or b = 19

    Length of base can’t be negative :

    Hence,

    Base, b = 19

    Height, h = base + 7 = 19 + 7 = 26

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