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Omni-MATH / Let ABC be a triangle with circumcenter O, incenter I,∠B=45^(∘), and OI∥BC. Find cos∠C.

Problem

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problem

Let ABCABC be a triangle with circumcenter OO, incenter I,∠B=45∘I, \angle B=45^{\circ}, and OI∥BCOI \parallel BC. Find cos∠C\cos \angle C.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle with circumcenter O, incenter I,∠B=45^(∘), and OI∥BC. Find cos∠C.
Original LaTeX notation
Let $ABC$ be a triangle with circumcenter $O$, incenter $I, \angle B=45^{\circ}$, and $OI \parallel BC$. Find $\cos \angle C$.

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Source and history

task_id
a013f6b1-a493-5892-856a-9cf29af04806
task_key
test--a013f6b1-a493-5892-856a-9cf29af04806
task_revision_id
1
config / split
/ test

Official source

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