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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d8d0c97-e66d-424a-9c52-d4c7d8464ad8%2F3083c5ec-1d6b-4198-8709-12d75ee4a85d%2For8w1rv_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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