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.

## Wednesday, February 24, 2016

### Geometry Problem 1190: Circle, Chords. Congruence

Labels:
chord,
circle,
congruence

Subscribe to:
Post Comments (Atom)

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