5 A semi-circle is inscribed in a right triangle whose leg lengths are 5 and 12, so that the circle's diameter lies along the longer leg beginning at the right- angled vertex, and so as to touch the triangle's hypotenuse tangentially. Find the radius of the circle. 12
5 A semi-circle is inscribed in a right triangle whose leg lengths are 5 and 12, so that the circle's diameter lies along the longer leg beginning at the right- angled vertex, and so as to touch the triangle's hypotenuse tangentially. Find the radius of the circle. 12
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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Question
![9.
5
A semi-circle is inscribed in a right triangle whose leg lengths are 5 and 12, so
that the circle's diameter lies along the longer leg beginning at the right-
angled vertex, and so as to touch the triangle's hypotenuse tangentially.
Find the radius of the circle.
12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cc6579f-b130-4d2b-9f46-36ab5e6a7b59%2F42a022a2-95ee-4b5e-aa39-5188fd656b23%2F2mcnbw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9.
5
A semi-circle is inscribed in a right triangle whose leg lengths are 5 and 12, so
that the circle's diameter lies along the longer leg beginning at the right-
angled vertex, and so as to touch the triangle's hypotenuse tangentially.
Find the radius of the circle.
12
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