The area of a triangle is 25 square inches. The base of the triangle is x – 3, and the height is x + 2.

Question

The area of a triangle is 25 square inches.

The base of the triangle is x – 3,

and the height is x + 2.

Find the value of x, and the dimensions of the triangle.

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Isabella 4 weeks 2021-09-21T08:37:57+00:00 1 Answer 0

Answers ( )

    0
    2021-09-21T08:39:16+00:00

    The value of x = 8

    Dimension of the Triangle is

    height=10

    base=5

    Step-by-step explanation:

    Given:

    Square inches=25

    Base of the triangle=x-3

    Height of the triangle=x+2

    The area of the triangle=1/2*b*h

    Therefore:

    1/2(x-3)(x+2)=25

    1/2(x^2+2x-3x-6)=25

    (x^2+2x-3x-6)=50

    x^2-x-6=50

    x^2-x-6-50=0

    x^2-x-56=0

    (x+7)(x-8)=0

    x=-7 or x=8

    Always we ignore the negative value

    Therefore X=8

    The Dimensions of the Triangle

    Base of the triangle=x-3=5

    Height of the triangle=x+2=10

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45:7+7-4:2-5:5*4+35:2 =? ( )