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Omni-MATH / Let ABC be a triangle and D a point on BC such that AB=√(2),AC=√(3),∠BAD=30^(∘), and ∠CAD=45^(∘). Find AD.

Problem

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problem

Let ABCA B C be a triangle and DD a point on BCB C such that AB=2,AC=3,∠BAD=30∘A B=\sqrt{2}, A C=\sqrt{3}, \angle B A D=30^{\circ}, and ∠CAD=45∘\angle C A D=45^{\circ}. Find ADA D.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle and D a point on BC such that AB=√(2),AC=√(3),∠BAD=30^(∘), and ∠CAD=45^(∘). Find AD.
Original LaTeX notation
Let $A B C$ be a triangle and $D$ a point on $B C$ such that $A B=\sqrt{2}, A C=\sqrt{3}, \angle B A D=30^{\circ}$, and $\angle C A D=45^{\circ}$. Find $A D$.

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Source and history

task_id
12f73946-314c-52b9-b61d-e9cc1cd072f0
task_key
test--12f73946-314c-52b9-b61d-e9cc1cd072f0
task_revision_id
1
config / split
/ test

Official source

initial import