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, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.CT: Test
Problem 6CT: In right triangle ABC,CD- is the altitude from C to hypotenuse AB-. Name three triangles that are...
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Transcribed Image Text: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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