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6. Let w be the incircle of scalene triangle ABC. Let w be tangent to AB and AC at points X and Y. Construct points X' and Y' on line segments AB and AC respectively such that AX' = XB and AY' = YC. Let line CX' intersects wat points P, Q such that P is closer to C than Q. Also let R be the intersection of lines CX' and BY'. Prove that CP = RX'.

6. Let w be the incircle of scalene triangle ABC. Let w be tangent to AB and AC at points X and Y. Construct points X' and Y' on line segments AB and AC respectively such that AX' = XB and AY' = YC. Let line CX' intersects wat points P, Q such that P is closer to C than Q. Also let R be the intersection of lines CX' and BY'. Prove that CP = RX'.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. Let w be the incircle of scalene triangle ABC. Let w be tangent to AB and AC at points X and Y. Construct points X' and Y' on line segments AB and AC respectively such that AX' = XB and AY' = YC. Let line CX' intersects wat points P, Q such that P is closer to C than Q. Also let R be the intersection of lines CX' and BY'. Prove that CP = RX'.
Transcribed Image Text:6. Let w be the incircle of scalene triangle ABC. Let w be tangent to AB and AC at points X and Y. Construct points X' and Y' on line segments AB and AC respectively such that AX' = XB and AY' = YC. Let line CX' intersects wat points P, Q such that P is closer to C than Q. Also let R be the intersection of lines CX' and BY'. Prove that CP = RX'.
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