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Omni-MATH / Triangle △PQR, with PQ=PR=5 and QR=6, is inscribed in circle ω. Compute the radius of the circle with center on (QR)¯ which is tangent to both ω and (PQ)¯.

Problem

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problem

Triangle △PQR\triangle P Q R, with PQ=PR=5P Q=P R=5 and QR=6Q R=6, is inscribed in circle ω\omega. Compute the radius of the circle with center on QR¯\overline{Q R} which is tangent to both ω\omega and PQ¯\overline{P Q}.
Plain-text mathematical notation (without MathML)
Triangle △PQR, with PQ=PR=5 and QR=6, is inscribed in circle ω. Compute the radius of the circle with center on (QR)¯ which is tangent to both ω and (PQ)¯.
Original LaTeX notation
Triangle $\triangle P Q R$, with $P Q=P R=5$ and $Q R=6$, is inscribed in circle $\omega$. Compute the radius of the circle with center on $\overline{Q R}$ which is tangent to both $\omega$ and $\overline{P Q}$.

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Source and history

task_id
f3dff7a6-e4de-5de9-a9ef-bfe3a2e98f8a
task_key
test--f3dff7a6-e4de-5de9-a9ef-bfe3a2e98f8a
task_revision_id
1
config / split
/ test

Official source

initial import