benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / In right triangle ABC, we have AB=10, BC=24, and ∠ABC=90^(∘). If M is on (AC)¯ such that (BM)¯ is a median of △ABC, then what is cos∠ABM?

Problem

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

problem

In right triangle ABCABC, we have AB=10AB = 10, BC=24BC = 24, and ∠ABC=90∘\angle ABC = 90^\circ. If MM is on AC¯\overline{AC} such that BM¯\overline{BM} is a median of △ABC\triangle ABC, then what is cos∠ABM\cos \angle ABM?
Plain-text mathematical notation (without MathML)
In right triangle ABC, we have AB=10, BC=24, and ∠ABC=90^(∘). If M is on (AC)¯ such that (BM)¯ is a median of △ABC, then what is cos∠ABM?
Original LaTeX notation
In right triangle $ABC$, we have $AB = 10$, $BC = 24$, and $\angle ABC = 90^\circ$. If $M$ is on $\overline{AC}$ such that $\overline{BM}$ is a median of $\triangle ABC$, then what is $\cos \angle ABM$?

level

Level 2

type

Precalculus

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
ccb5daa7-76b0-5524-94df-310b3e1c4f4b
task_key
precalculus--test--ccb5daa7-76b0-5524-94df-310b3e1c4f4b
task_revision_id
1
config / split
precalculus / test

Official source

initial import