Wednesday, February 24, 2016

Geometry Problem 1190: Circle, Chords. Congruence

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to view more details of problem 1190.

Math: Geometry Problem 1190: Circle, Chords. Congruence
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1 comment:

  1. Sumith PeirisFebruary 24, 2016 at 9:40 PM

    Let EG =FM = p

    From similar triangels

    c1.c2 = p(b1+b2+p) = c3.c4 ....(1)

    a1.a2= (p+b1)(p+b2)
    = p(b1+b2+p) + b1.b2
    = b1.b2 + c1c2, from (1)
    = b1.b2 + sqrt(c1.c2.c3.c4) also from (1)

    Sumith Peiris
    Moratuwa
    Sri Lanka

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