Proposed Problem

Click the figure below to see the complete problem 420 about Triangle, Angles, Altitude, Sides, Measurement.

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Complete Problem 420

Level: High School, SAT Prep, College geometry

## Tuesday, January 19, 2010

### Problem 420. Triangle, Angles, Altitude, Sides, Measurement

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Another way would be to extend AB to E such that BE=3c. Now it's easy to see that Tr. EAC is isosceles with BD // to altitude from E to AC which gives us: c/4c= 1/((x+1)/2) or x=7

ReplyDeleteAjit

Let AD = AE, E being on DC.

ReplyDeleteBE bisects < ABC, hence c/3c = 2/(x-1) from which we have x = 7

Sumith Peiris

Moratuwa

Sri Lanka

Problem 420

ReplyDeleteSuppose that the point E is symmetric of A with respect to the D. Then BE is the bisector of the angle ABC.Is c/3c=2/(x-1) or x=7.