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MATH / In triangle ABC, tan∠CAB=(22)/(7), and the altitude from A divides (BC)¯ into segments of length 3 and 17. What is the area of triangle ABC?

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problem

In triangle ABCABC, tan∠CAB=227\tan \angle CAB = \frac{22}{7}, and the altitude from AA divides BC¯\overline{BC} into segments of length 33 and 1717. What is the area of triangle ABCABC?
Plain-text mathematical notation (without MathML)
In triangle ABC, tan∠CAB=(22)/(7), and the altitude from A divides (BC)¯ into segments of length 3 and 17. What is the area of triangle ABC?
Original LaTeX notation
In triangle $ABC$, $\tan \angle CAB = \frac{22}{7}$, and the altitude from $A$ divides $\overline{BC}$ into segments of length $3$ and $17$. What is the area of triangle $ABC$?

level

Level 3

type

Precalculus

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Source and history

task_id
a6baf257-8cd0-5499-bdd9-ea18b1878a5d
task_key
precalculus--test--a6baf257-8cd0-5499-bdd9-ea18b1878a5d
task_revision_id
1
config / split
precalculus / test

Official source

initial import