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In triangle DEF, DE = DF = 100, and EF = 56. Circle Q has radius 16 and is tangent to segment DF and segment EF. Circle S is externally tangent to Circle Q and tangent to segments DE and EF. No point of circle S lies outside of triangle DEF. The radius of circle S can be expressed in the form a- bc where a, b, and c are positive integers and c is the product of distinct primes. Find bc - a. %3D %3D a) 35 b) 166 c) 195 d) 254 e) None of the above Activate Windo Go to Settings to act

In triangle DEF, DE = DF = 100, and EF = 56. Circle Q has radius 16 and is tangent to segment DF and segment EF. Circle S is externally tangent to Circle Q and tangent to segments DE and EF. No point of circle S lies outside of triangle DEF. The radius of circle S can be expressed in the form a- bc where a, b, and c are positive integers and c is the product of distinct primes. Find bc - a. %3D %3D a) 35 b) 166 c) 195 d) 254 e) None of the above Activate Windo Go to Settings to act

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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In triangle DEF, DE = DF = 100, and EF = 56. Circle Q has radius 16 and is tangent to segment DF and segment EF. Circle S is externally tangent to Circle Q and tangent to segments DE and EF. No point of circle S lies outside of triangle DEF. The radius of circle S can be expressed in the form a- bc where a, b, and c are positive integers and c is the product of distinct primes. Find bc - a. %3D %3D a) 35 b) 166 c) 195 d) 254 e) None of the above Activate Windows Go to Settings to activa
Transcribed Image Text:In triangle DEF, DE = DF = 100, and EF = 56. Circle Q has radius 16 and is tangent to segment DF and segment EF. Circle S is externally tangent to Circle Q and tangent to segments DE and EF. No point of circle S lies outside of triangle DEF. The radius of circle S can be expressed in the form a- bc where a, b, and c are positive integers and c is the product of distinct primes. Find bc - a. %3D %3D a) 35 b) 166 c) 195 d) 254 e) None of the above Activate Windows Go to Settings to activa
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