In the figure, suppose GH = a, FG = 1, FIH is a semicircle with diameter FH, and assume Gl is perpendicular to FH. Prove: Gl = √a. Suggestion: Remember that an angle inscribed in a semicircle is a right angle (so ZFIH is a right angle). F G H

In the figure, suppose GH = a, FG = 1, FIH is a semicircle with diameter FH, and assume Gl is perpendicular to FH. Prove: Gl = √a. Suggestion: Remember that an angle inscribed in a semicircle is a right angle (so ZFIH is a right angle). F G H

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

Section8.5: More Area Relationships In The Circle

Problem 38E: Use the results from Exercises 36 and 37 to find the exact length of the radius of the inscribed...

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Question

In the figure, suppose GH = a, FG = 1, FIH is a semicircle with diameter FH, and assume Gl is
perpendicular to FH. Prove: Gl= √a. Suggestion: Remember that an angle inscribed in a semicircle
is a right angle (so ZFIH is a right angle).
F
I
G
H

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