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Math Help - Find area of a triangle

  1. #1
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    Find area of a triangle

    Hi,

    Im studying on an exam and im stuck at this question.

    The area of circle P is 36pi in^2
    If CB=6 in, find the area of triangle ABC?


    Find area of a triangle-triangle.png

    I know that the angle C is right, is the sides CB and AC equal then?

    Plz help!!
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Hint: Use

    36\pi=\pi \left(\overline{AB}/2\right)^2
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  3. #3
    MHF Contributor

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    Quote Originally Posted by julieta View Post
    Hi,

    Im studying on an exam and im stuck at this question.

    The area of circle P is 36pi in^2
    If CB=6 in, find the area of triangle ABC?


    Click image for larger version. 

Name:	triangle.png 
Views:	18 
Size:	3.9 KB 
ID:	21231

    I know that the angle C is right, is the sides CB and AC equal then?

    Plz help!!
    No, not necessarily. But you are told that CB= 6 and you can find AB: the area of the circle is 36\pi= \pi r^2 so you can find r, then AB. And, of course, you can find CA using the pythagorean theorem.
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  4. #4
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    Hi Julieta,
    Previous responders have given you equations for finding either a diameter or radius of given circle You should redraw your improperly drawn triangle in the semicircle and from it calculate the area of triangle.



    bjh
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