Proposed Problem

Click the figure below to see the complete problem 349 about Triangles, Cevian, Incircles, Tangents, Tangency Points.

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Complete Problem 349

Level: High School, SAT Prep, College geometry

## Wednesday, August 26, 2009

### Problem 349. Triangle, Cevian, Incircles, Tangents, Tangency Points

Labels:
cevian,
common tangent,
congruence,
incircle,
tangency point,
triangle

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QS = HP ( common ext tg are equal )

ReplyDeleteQR + RS = HD + DP

RM + RN = DM + DP ( QR = RM, HD = DM , tg from pts R,D)

RM + RM + MN = MN + DN + DP

2∙RM = 2∙DN ( DN = DP tg from D )

RM = DN

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rest of solution

see P 34