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MATH / In △ABC we have AB=7, AC=8, and BC=9. Point D is on the circumscribed circle of the triangle so that (AD)¯ bisects ∠BAC. What is the value of AD/CD?

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problem

In △ABC\triangle ABC we have AB=7AB=7, AC=8AC=8, and BC=9BC=9. Point DD is on the circumscribed circle of the triangle so that AD¯\overline{AD} bisects ∠BAC\angle BAC. What is the value of AD/CDAD/CD?
Plain-text mathematical notation (without MathML)
In △ABC we have AB=7, AC=8, and BC=9. Point D is on the circumscribed circle of the triangle so that (AD)¯ bisects ∠BAC. What is the value of AD/CD?
Original LaTeX notation
In $\triangle ABC$ we have $AB=7$, $AC=8$, and $BC=9$. Point $D$ is on the circumscribed circle of the triangle so that $\overline{AD}$ bisects $\angle BAC$. What is the value of $AD/CD$?

level

Level 5

type

Geometry

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Source and history

task_id
12fe455d-1ef1-509a-8e84-d1c21f6dfc14
task_key
geometry--test--12fe455d-1ef1-509a-8e84-d1c21f6dfc14
task_revision_id
1
config / split
geometry / test

Official source

initial import