In an isosceles right triangle ABC, with the right angle at C, the length of a leg is 20 inches. Perpendiculars are dropped from C to the hypotenuse, from the foot of this perpendicular to leg CB, from the foot if this perpendicular to AB then back to leg CB, etc without end. Find the sum of the lengths of all perpendiculars.
In an isosceles right triangle ABC, with the right angle at C, the length of a leg is 20 inches. Perpendiculars are dropped from C to the hypotenuse, from the foot of this perpendicular to leg CB, from the foot if this perpendicular to AB then back to leg CB, etc without end. Find the sum of the lengths of all perpendiculars.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CT: Test
Problem 16CT
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