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Let ABC be a triangle with side lengths a = BC, b= AC, c = AB. (d) Suppose that all of the angles in ABC are acute. Drop a perpendicular from C to AB with foot P. Let h = CP and d = AP. Show that a²b²+ c²2cd. (e) Suppose instead that the angle ZCAB is obtuse. Find a result similar to that in part (d) for this case.

Let ABC be a triangle with side lengths a = BC, b= AC, c = AB. (d) Suppose that all of the angles in ABC are acute. Drop a perpendicular from C to AB with foot P. Let h = CP and d = AP. Show that a²b²+ c²2cd. (e) Suppose instead that the angle ZCAB is obtuse. Find a result similar to that in part (d) for this case.

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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Let ABC be a triangle with side lengths a = BC, b= AC, c = AB. (d) Suppose that all of the angles in ABC are acute. Drop a perpendicular from C to AB with foot P. Let h = CP and d = AP. Show that a²b²+ c²-2cd. (e) Suppose instead that the angle ZCAB is obtuse. Find a result similar to that in part (d) for this case.
Transcribed Image Text:Let ABC be a triangle with side lengths a = BC, b= AC, c = AB. (d) Suppose that all of the angles in ABC are acute. Drop a perpendicular from C to AB with foot P. Let h = CP and d = AP. Show that a²b²+ c²-2cd. (e) Suppose instead that the angle ZCAB is obtuse. Find a result similar to that in part (d) for this case.
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