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Math Help - Urgent Help Needed

  1. #1
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    Urgent Help Needed

    Hi I need help for this question

    I need the solution, working out and the explanation for the steps.

    Thanks



    Triangle ACB and Triangle APO are equilateral

    (i) Explain why Angle BAO = Angle PAC
    (ii) Prove Triangle AOB is congruent to Triangle APC
    (iii) Hence. Prove OP=CP
    Last edited by itsMoeyy; August 8th 2009 at 09:08 PM.
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  2. #2
    Member eXist's Avatar
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    Is this in 3 dimensional space? or is this on a flat surface? To me it looks like that's a pyramid
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  3. #3
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    Quote Originally Posted by itsMoeyy View Post
    Hi I need help for this question

    I need the solution, working out and the explanation for the steps.

    Thanks



    Triangle ACB and Triangle APO are equilateral

    (i) Explain why Angle BAO = Angle PAC
    (ii) Prove Triangle AOB is congruent to Triangle APC
    (iii) Hence. Prove OR=CP
     \angle BAC=60 since the triangle is equilateral

    \angle BAC= \angle BAO +\angle OAC=60

    \angle OAP=60 since the triangle is equilateral

    \angle OAP=\angle PAC +\angle OAC=60

    Therefore \angle BAO+\angle OAC=\angle PAC+\angle OAC

    And so \angle BAO=\angle PAC

    I think you should be able to see part II, you'll get 2 sides are the same because of the equilateral triangle, and since we just showed the angles are the same, you only need one more piece

    For part III, there is no R in the diagram
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  4. #4
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    Oh wow. thanks!

    Srry it was actually ment to be

    OP=CP

    Thanks

    Oh and its a flat surface and not a pyramid lol.
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