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Math Help - Geometry problem - using congruence/similarity only

  1. #1
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    Geometry problem - using congruence/similarity only

    Hi, I'm having problems solving this geometry problem, using congruence and similarity only.

    Let ABC be a right angled triangle, with the 90° angle at C. The midpoint of hypotenuse AB is twice as far from side BC as it is from side AC. Find the length of side AC, if AB = 10cm?

    First of all, I can't even construct a proper diagram with that info! If someone could attach one, that would be appreciated. Also, how could I solve it using congruence or similarity only?

    Thanks, BG
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  2. #2
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    Quote Originally Posted by BG5965 View Post
    Let ABC be a right angled triangle, with the 90° angle at C. The midpoint of hypotenuse AB is twice as far from side BC as it is from side AC. Find the length of side AC, if AB = 10cm?
    You can show that m(CB)=2x~\&~m(CA)=4x.
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