benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / In right triangle ABC, we have ∠BAC=90^(∘) and D is the midpoint of (AC)¯. If AB=7 and BC=25, then what is tan∠BDC?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

In right triangle ABCABC, we have ∠BAC=90∘\angle BAC = 90^\circ and DD is the midpoint of AC¯\overline{AC}. If AB=7AB = 7 and BC=25BC = 25, then what is tan∠BDC\tan \angle BDC?
Plain-text mathematical notation (without MathML)
In right triangle ABC, we have ∠BAC=90^(∘) and D is the midpoint of (AC)¯.  If AB=7 and BC=25, then what is tan∠BDC?
Original LaTeX notation
In right triangle $ABC$, we have $\angle BAC = 90^\circ$ and $D$ is the midpoint of $\overline{AC}$.  If $AB = 7$ and $BC = 25$, then what is $\tan \angle BDC$?

level

Level 5

type

Geometry

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
a8d3b50c-efbd-5049-986b-869b36b2fc2c
task_key
geometry--test--a8d3b50c-efbd-5049-986b-869b36b2fc2c
task_revision_id
1
config / split
geometry / test

Official source

initial import