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Math Help - Pythagoras' Theorem Triangle

  1. #1
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    Pythagoras' Theorem Triangle

    Write down the altitude in the special case where s=2b.
    What type of triangle is this and what is its area?


    Please help. Thanks.
    Attached Thumbnails Attached Thumbnails Pythagoras' Theorem Triangle-tri.jpg  
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  2. #2
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    Equilateral

    You tell us the area.
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  3. #3
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    Area = 1/2bh

    = 1/2 x 2b x a

    I have no idea, I'm sorry!
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  4. #4
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    What are you not getting? You have it. Simplify and you are done.

    Do you see that it is equilateral?
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  5. #5
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    Quote Originally Posted by stellina_91 View Post
    Write down the altitude in the special case where s=2b.
    Use pythogorus theorem to get the altitude first, then use it to obtain area fully in terms of b.
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  6. #6
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    In the answer it says:

    This is an equilateral triangle with a = b x root 3 and area = b^2 x root 3.


    I don't know how they got this.
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  7. #7
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    Quote Originally Posted by stellina_91 View Post
    In the answer it says:

    This is an equilateral triangle with a = b x root 3 and area = b^2 x root 3.


    I don't know how they got this.
    Do you know Pythogorus theorem?
    Can you see a right angled triangle in the figure?

    Now apply Pythogorus theorem to that right angled triangle. And express a in terms of b.
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  8. #8
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    Ohh I see now!! Thanks so much!! Sorry it took me while.
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  9. #9
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    Quote Originally Posted by stellina_91 View Post
    Ohh I see now!! Thanks so much!! Sorry it took me while.
    No problem. If you are stuck somewhere, do let us know
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