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Omni-MATH / Given right triangle ABC, with AB=4,BC=3, and CA=5. Circle ω passes through A and is tangent to BC at C. What is the radius of ω?

Problem

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problem

Given right triangle ABCABC, with AB=4,BC=3AB=4, BC=3, and CA=5CA=5. Circle ω\omega passes through AA and is tangent to BCBC at CC. What is the radius of ω\omega?
Plain-text mathematical notation (without MathML)
Given right triangle ABC, with AB=4,BC=3, and CA=5. Circle ω passes through A and is tangent to BC at C. What is the radius of ω?
Original LaTeX notation
Given right triangle $ABC$, with $AB=4, BC=3$, and $CA=5$. Circle $\omega$ passes through $A$ and is tangent to $BC$ at $C$. What is the radius of $\omega$?

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Source and history

task_id
1dba55f2-ef52-51a7-9565-63b8d559970e
task_key
test--1dba55f2-ef52-51a7-9565-63b8d559970e
task_revision_id
1
config / split
/ test

Official source

initial import