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Math Help - Finding the area of the shaded region?

  1. #1
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    Finding the area of the shaded region?

    Ok I have these three points of the Cartesian plane (0,0),(2,3),(5,0)

    And I have to find the area "inside these points" to me they look like a triangle

    So I thought I would use 1/2 base(height)

    I used the distance formula to get the base from (0,0) to (5,0) as 5

    I got height from from (2,3) to (0,0) as 5

    So I did (1/2)(5)(5)=12.5 only problem is that the answer in the back of my textbook says 15/2.
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  2. #2
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    Re: Finding the area of the shaded region?

    Quote Originally Posted by homeylova223 View Post
    Ok I have these three points of the Cartesian plane (0,0),(2,3),(5,0)

    And I have to find the area "inside these points" to me they look like a triangle

    So I thought I would use 1/2 base(height) perpendicular height for the base you choose

    I used the distance formula to get the base from (0,0) to (5,0) as 5

    I got height from from (2,3) to (0,0) as 5 this is not the perpendicular height for the chosen base

    So I did (1/2)(5)(5)=12.5 only problem is that the answer in the back of my textbook says 15/2.
    Note that there is no need to use the distance formula
    to get the distance from (0,0) to (5,0)
    as these points are both on the horizontal x-axis
    so the distance is 5-0=5.

    The x and y axes are perpendicular.
    Hence you want the distance from (2,3) to (2,0) as the perpendicular height,
    which is 3.

    Now you can use the area of a triangle = half the base times the height.
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  3. #3
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    Re: Finding the area of the shaded region?

    Quote Originally Posted by homeylova223 View Post
    I got height from from (2,3) to (0,0) as 5
    May be a good idea for you to buy some graph paper...
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