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MATH / In triangle ABC, D is on (AB)¯ and E is on (BC)¯ such that AD=3, BD=2, BE=3, and CE=4. Let F be the intersection of (AE)¯ and (CD)¯. Find (EF)/(FA).

Problem

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problem

In triangle ABC,ABC, DD is on AB¯\overline{AB} and EE is on BC¯\overline{BC} such that AD=3,AD = 3, BD=2,BD = 2, BE=3,BE = 3, and CE=4.CE = 4. Let FF be the intersection of AE¯\overline{AE} and CD¯.\overline{CD}. Find EFFA.\frac{EF}{FA}.
Plain-text mathematical notation (without MathML)
In triangle ABC, D is on (AB)¯ and E is on (BC)¯ such that AD=3, BD=2, BE=3, and CE=4.  Let F be the intersection of (AE)¯ and (CD)¯.  Find (EF)/(FA).
Original LaTeX notation
In triangle $ABC,$ $D$ is on $\overline{AB}$ and $E$ is on $\overline{BC}$ such that $AD = 3,$ $BD = 2,$ $BE = 3,$ and $CE = 4.$  Let $F$ be the intersection of $\overline{AE}$ and $\overline{CD}.$  Find $\frac{EF}{FA}.$

level

Level 4

type

Precalculus

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Source and history

task_id
6892973b-1e58-5639-ac94-7961f366992e
task_key
precalculus--test--6892973b-1e58-5639-ac94-7961f366992e
task_revision_id
1
config / split
precalculus / test

Official source

initial import