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26 July, 05:31

The height of a triangle is 7 m less than its base. The area of the triangle is 30 m².

What is the length of the base? What is the height of the triangle?

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Answers (2)
  1. 26 July, 07:53
    0
    Base:12 Height=5

    Step-by-step explanation:

    Step 1

    Know the formula your using to solve this problem

    A=/frac{1}{2} / / BH

    Step 2

    Now you look at what you already know

    A=/frac{1}{2} / / B (+7) H (-7)

    Step 3

    Divide 30 by 1/2

    In order to do this you convert / frac{1}{2} / into a decimal which is 0.5

    so now divide 30 by 0.5 which Equals

    60

    Step 4

    Now Multiply all the numbers that equal 60 until finding a solution where one number is 7 less then the number it's being multiplied by

    Solution=12 * 5=60

    Step 5

    Now you that you have you solution you plug this into the formula to find the area

    A=/frac{1}{2} / B (12) H (5) note: It is easier to write 0.5 in place of / frac{1}{2} / because it will make it easier for you to solve this problem.

    Step 6

    Now you have everything needed to solve

    A=0.5 * 60

    A=30m² Base=12 Height = 5
  2. 26 July, 09:19
    0
    Base 12m Height 5m

    Step-by-step explanation:

    Area of a triangle formula A=1/2bh

    30=1/2 (x) (x-7)

    2*30 = 1/2 (x) (x-7) * 2

    60 = x^2 - 7x

    60 - x^2 + 7x = 0

    -60 + x^2 - 7x = 0

    x^2 - 7x - 60 = 0

    x^2 + 5x - 12x - 60 = 0

    x (x+5) - 12x-60=0

    x (x+5) - 12 (x+5) = 0

    (x+5) * (x-12) = 0

    x+5=0

    x-12=0

    x=-5

    x-12=0

    x=12

    The final answer is: x = 12,5

    get rid of the - 5 because - 5 does not make sense at a height so turn it into 5

    Base: 12m

    Height 5m
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