benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / The perimeter of △ABC is 32. If ∠ABC=∠ACB and BC=12, what is the length of AB? [asy] draw((0,0)--(12,0)--(6,10)--cycle,black+linewidth(1)); MarkAngle((12,0),(0,0),(6,10),1,black+li…

Problem

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

problem

The perimeter of △ABC\triangle ABC is 32.32. If ∠ABC=∠ACB\angle ABC=\angle ACB and BC=12,BC=12, what is the length of $AB?$ [asy] draw((0,0)--(12,0)--(6,10)--cycle,black+linewidth(1)); MarkAngle((12,0),(0,0),(6,10),1,black+linewidth(1)); MarkAngle((6,10),(12,0),(0,0),1,black+linewidth(1)); label("AA",(6,10),N); label("BB",(0,0),W); label("CC",(12,0),E); label("12",(0,0)--(12,0),S); [/asy]
Plain-text mathematical notation (without MathML)
The perimeter of △ABC is 32. If ∠ABC=∠ACB and BC=12, what is the length of $AB?$

[asy]
draw((0,0)--(12,0)--(6,10)--cycle,black+linewidth(1));
MarkAngle((12,0),(0,0),(6,10),1,black+linewidth(1));
MarkAngle((6,10),(12,0),(0,0),1,black+linewidth(1));
label("A",(6,10),N);
label("B",(0,0),W);
label("C",(12,0),E);
label("12",(0,0)--(12,0),S);
[/asy]
Original LaTeX notation
The perimeter of $\triangle ABC$ is $32.$ If $\angle ABC=\angle ACB$ and $BC=12,$ what is the length of $AB?$

[asy]
draw((0,0)--(12,0)--(6,10)--cycle,black+linewidth(1));
MarkAngle((12,0),(0,0),(6,10),1,black+linewidth(1));
MarkAngle((6,10),(12,0),(0,0),1,black+linewidth(1));
label("$A$",(6,10),N);
label("$B$",(0,0),W);
label("$C$",(12,0),E);
label("12",(0,0)--(12,0),S);
[/asy]

level

Level 1

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
6556ebec-a2d5-55a8-87bd-bfd9f891aacd
task_key
geometry--test--6556ebec-a2d5-55a8-87bd-bfd9f891aacd
task_revision_id
1
config / split
geometry / test

Official source

initial import