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MATH / In triangle ABC, ∠A=90^(∘), AC=1, and AB=5. Point D lies on ray (AC)→ such that ∠DBC=2∠CBA. Compute AD.

Problem

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problem

In triangle ABC,ABC, ∠A=90∘,\angle A = 90^\circ, AC=1,AC = 1, and AB=5.AB = 5. Point DD lies on ray AC→\overrightarrow{AC} such that ∠DBC=2∠CBA.\angle DBC = 2 \angle CBA. Compute AD.AD.
Plain-text mathematical notation (without MathML)
In triangle ABC, ∠A=90^(∘), AC=1, and AB=5.  Point D lies on ray (AC)→ such that ∠DBC=2∠CBA.  Compute AD.
Original LaTeX notation
In triangle $ABC,$ $\angle A = 90^\circ,$ $AC = 1,$ and $AB = 5.$  Point $D$ lies on ray $\overrightarrow{AC}$ such that $\angle DBC = 2 \angle CBA.$  Compute $AD.$

level

Level 4

type

Precalculus

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Source and history

task_id
4b555a3c-63f2-57c2-9992-c85e45b81fb9
task_key
precalculus--test--4b555a3c-63f2-57c2-9992-c85e45b81fb9
task_revision_id
1
config / split
precalculus / test

Official source

initial import