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Using the above information, give a proof of Pythagoras' Theorem by computing the area of the quadrilateral ADEC in the following figure in two different ways. You may assume the existence of the figure as shown. We have BC = EB = a, BD = AC = b, DE = AB = c and LBDE = ZBAC = 2.

Using the above information, give a proof of Pythagoras' Theorem by computing the area of the quadrilateral ADEC in the following figure in two different ways. You may assume the existence of the figure as shown. We have BC = EB = a, BD = AC = b, DE = AB = c and LBDE = ZBAC = 2.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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b) Let ABCD be a convex quadilateral in which AB and CD are parallel (i.e. a trapezium). Let h be its height, the perpendicular distance between AB and CD. You are given that the area of ABCD is h(AB + CD). Using the above information, give a proof of Pythagoras' Theorem by computing the area of the quadrilateral ADEC in the following figure in two different ways. You may assume the existence of the figure as shown. We have BC = EB = a, BD = AC = b, DE = AB = c and LBDE = ZBAC = 2. E C a D b B a C C b
Transcribed Image Text:b) Let ABCD be a convex quadilateral in which AB and CD are parallel (i.e. a trapezium). Let h be its height, the perpendicular distance between AB and CD. You are given that the area of ABCD is h(AB + CD). Using the above information, give a proof of Pythagoras' Theorem by computing the area of the quadrilateral ADEC in the following figure in two different ways. You may assume the existence of the figure as shown. We have BC = EB = a, BD = AC = b, DE = AB = c and LBDE = ZBAC = 2. E C a D b B a C C b
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