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5. If AWKT has acute angles at K and T, and if WR 1 KT, show that R lies between K and T. (Hint: Use a proof by contradiction. There are 2 cases, either K-T -R or R-K -T. Show that both cases contradict the Exterior Angle Theorem, as shown in the 2nd figure below.) W 90° K RT TR

5. If AWKT has acute angles at K and T, and if WR 1 KT, show that R lies between K and T. (Hint: Use a proof by contradiction. There are 2 cases, either K-T -R or R-K -T. Show that both cases contradict the Exterior Angle Theorem, as shown in the 2nd figure below.) W 90° K RT TR

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5. If AWKT has acute angles at K and T, and if WRI KT, show that R lies between K and T. (Hint: Use a proof by contradiction. There are 2 cases, either K -T -R or R-K -T. Show that both cases contradict the Exterior Angle Theorem, as shown in the 2nd figure below.) 90 R T K. TR
Transcribed Image Text:5. If AWKT has acute angles at K and T, and if WRI KT, show that R lies between K and T. (Hint: Use a proof by contradiction. There are 2 cases, either K -T -R or R-K -T. Show that both cases contradict the Exterior Angle Theorem, as shown in the 2nd figure below.) 90 R T K. TR
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