Proposed Problem

Click the figure below to see the complete problem 296 about Intersecting Circles, Chord, Radius, Angle, Perpendicular.

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Complete Problem 296

Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

## Wednesday, June 3, 2009

### Problem 296: Intersecting Circles, Chord, Radius, Angle, Perpendicular

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Join OB and produce OC to DE at a point F.

ReplyDeleteLet angle OBC=y,

Then angle COB=180-2y

angle BAC=90-y=angle BED

Also, angle ECF=y

So, angle EFC=90, OC is perpendicular to DE

Let < EDA = @ then @ = < ABE = < AOC /2 hence < ACO = 90 - @ hence OC is perpendicular to DE

ReplyDeleteSumith Peiris

Moratuwa

Sri Lanka