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20 October, 13:11

What is the length of the base of a right triangle with an area of 24 m² and a height of 4 m?

A 3 m

B 6 m

C 12 m

D 96 m

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Answers (2)
  1. 20 October, 13:45
    0
    Area of a triangle is A=1/2*base*height

    Now you can do this in two ways:

    1) A=1/2*base*height

    24=1/2*b*4

    24 = 2*b (take half of 4)

    24/2=2/2*b

    12=b

    Therefore the base of the triangle is is 12 metres

    Isolate b (base)

    2) A=1/2*b*h

    A (2) = 1/2 (2) * b*h

    2A=2/2*b*h

    2A=1*b*h

    2A/h = b*h/h

    2A/h=b

    So substitute the numbers in and solve:

    2A/h=b

    2 (24) / 4=b

    48/4=b

    12=b

    Thus the base of the triangle is 12m

    So the answer choice C is right
  2. 20 October, 15:01
    0
    Area of a triangle = 1/2 b * h.

    Using this formula, we can find the one we need.

    Plug the numbers we have into the formula, and we get:

    24 = 1/2 b * 4

    6 = 1/2 b

    12 = b

    The base is 12 meters.

    c) 12 m
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