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Omni-MATH / In isosceles △ABC,AB=AC and P is a point on side BC. If ∠BAP=2∠CAP,BP=√(3), and CP=1, compute AP.

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problem

In isosceles △ABC,AB=AC\triangle A B C, A B=A C and PP is a point on side BCB C. If ∠BAP=2∠CAP,BP=3\angle B A P=2 \angle C A P, B P=\sqrt{3}, and CP=1C P=1, compute APA P.
Plain-text mathematical notation (without MathML)
In isosceles △ABC,AB=AC and P is a point on side BC. If ∠BAP=2∠CAP,BP=√(3), and CP=1, compute AP.
Original LaTeX notation
In isosceles $\triangle A B C, A B=A C$ and $P$ is a point on side $B C$. If $\angle B A P=2 \angle C A P, B P=\sqrt{3}$, and $C P=1$, compute $A P$.

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Source and history

task_id
514afd51-a3a3-5692-a912-8f230af5ef55
task_key
test--514afd51-a3a3-5692-a912-8f230af5ef55
task_revision_id
1
config / split
/ test

Official source

initial import