Suppose that in right triangle ABC with right angle at C, AC=b, AB=c, BC we drop perpendicular from C to the hypotenuse, dividing the hypoter so that AD=c1 and BD=c2. Prove using similar triangles that (CD)²=c1C2 a a?=c2(c).

Suppose that in right triangle ABC with right angle at C, AC=b, AB=c, BC we drop perpendicular from C to the hypotenuse, dividing the hypoter so that AD=c1 and BD=c2. Prove using similar triangles that (CD)²=c1C2 a a?=c2(c).

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter7: Locus And Concurrence

Section7.2: Concurrence Of Lines

Problem 5E

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Question

Geometry proof

Suppose that in right triangle ABC with right angle at C, AC=b, AB=c, BC=a,
we drop perpendicular from C to the hypotenuse, dividing the hypotenuse
so that AD=c1 and BD=c2. Prove using similar triangles that (CD)?=c,c2 and
a?=c2(c).
А
C1
b
C2
В
a

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