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MATH / Let ABC be a triangle with ∠A=45^(∘). Let P be a point on side (BC)¯ with PB=3 and PC=5. Let O be the circumcenter of triangle ABC. Determine the length OP.

Problem

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problem

Let ABCABC be a triangle with ∠A=45∘\angle A = 45^\circ. Let PP be a point on side BC¯\overline{BC} with PB=3PB = 3 and PC=5PC = 5. Let OO be the circumcenter of triangle ABCABC. Determine the length OPOP.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle with ∠A=45^(∘). Let P be a point on side (BC)¯ with PB=3 and PC=5. Let O be the circumcenter of triangle ABC. Determine the length OP.
Original LaTeX notation
Let $ABC$ be a triangle with $\angle A = 45^\circ$. Let $P$ be a point on side $\overline{BC}$ with $PB = 3$ and $PC = 5$. Let $O$ be the circumcenter of triangle $ABC$. Determine the length $OP$.

level

Level 4

type

Precalculus

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Source and history

task_id
d08dbe35-de92-5a0c-9894-ca066231ad74
task_key
precalculus--test--d08dbe35-de92-5a0c-9894-ca066231ad74
task_revision_id
1
config / split
precalculus / test

Official source

initial import