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Math Help - geometry again .

  1. #1
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    geometry again .

    In the diagram , AN and BM are perpendicular to the tangent at R . O is the centre of the circle with diameter AB . Prove that

    (1) triangle ANR and RMB are similar

    I managed to prove this part

    (2) NR=MR

    stuck with this .
    Attached Thumbnails Attached Thumbnails geometry again .-22.bmp  
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  2. #2
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    produce a line AM that intersects with OR at C.
    you will see that triangles ACO and AMB are similar.
    triangles ANM and CRM are also similar.
    Since AO:OB = 1:1
    Hence AC:CM = 1:1
    and therefore NR:RM = 1:1
    which means NR = MR
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