Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.
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Wednesday, February 24, 2016
Geometry Problem 1190: Circle, Chords. Congruence
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Let EG =FM = p
ReplyDeleteFrom 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