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A Let AABC be a right triangle with right angle at B. Let D D denote the points of tangency to the incircle on the hypotenuse, AC. Prove that the area of AABC is the product of the lengths of segments created this way, (AD)(DC). В C

A Let AABC be a right triangle with right angle at B. Let D D denote the points of tangency to the incircle on the hypotenuse, AC. Prove that the area of AABC is the product of the lengths of segments created this way, (AD)(DC). В C

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A Let AABC be a right triangle with right angle at B. Let D D denote the points of tangency to the incircle on the hypotenuse, AC. Prove that the area of AABC is the В product of the lengths of segments created this way, (AD)(DC).
Transcribed Image Text:A Let AABC be a right triangle with right angle at B. Let D D denote the points of tangency to the incircle on the hypotenuse, AC. Prove that the area of AABC is the В product of the lengths of segments created this way, (AD)(DC).
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