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Math Help - Triangle Problem

  1. #1
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    Triangle Problem

    The triangle ABC is a right triangle with legs BC=3 and AC=4. The two angle trisectors of angle C intersect the hypotenuse. The longer of these trisectors has length (a(squrt(3))+b)/c, where gcf(a,b,c)=1

    Evaluate 15a-6b+32c.

    The answer and solution, please.
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  2. #2
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    Quote Originally Posted by LordHz View Post
    The triangle ABC is a right triangle with legs BC=3 and AC=4. The two angle trisectors of angle C intersect the hypotenuse. The longer of these trisectors has length (a(squrt(3))+b)/c, where gcf(a,b,c)=1

    Evaluate 15a-6b+32c.

    The answer and solution, please.
    Sketch the triangle, as the trisectors of C both meet the hypotenuse C is the
    right angle. This makes the triangle a 3,4,5 right triangle, so a=3, b=4, c=5.

    RonL
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