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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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