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MATH / In the figure shown, AC=13 and DC=2 units. What is the length of the segment BD? Express your answer in simplest radical form. [asy] draw((0,5)--(12,5)); draw((12,5)--(12,0)); draw…

Problem

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

problem

In the figure shown, AC=13AC=13 and DC=2DC=2 units. What is the length of the segment BDBD? Express your answer in simplest radical form. [asy] draw((0,5)--(12,5)); draw((12,5)--(12,0)); draw((12,0)--(0,5)); draw((12,5)--(10.1,0.8)); draw((10.48,1.64)--(9.47,2.06)); draw((9.47,2.06)--(9.09,1.22)); draw((11,5)--(11,4)); draw((11,4)--(12,4)); label("A",(0,5),W); label("B",(12,5),E); label("C",(12,0),E); label("D",(10.1,0.8),SW); [/asy]
Plain-text mathematical notation (without MathML)
In the figure shown, AC=13 and DC=2 units.  What is the length of the segment BD? Express your answer in simplest radical form.

[asy]
draw((0,5)--(12,5));
draw((12,5)--(12,0));
draw((12,0)--(0,5));
draw((12,5)--(10.1,0.8));
draw((10.48,1.64)--(9.47,2.06));
draw((9.47,2.06)--(9.09,1.22));
draw((11,5)--(11,4));
draw((11,4)--(12,4));
label("A",(0,5),W);
label("B",(12,5),E);
label("C",(12,0),E);
label("D",(10.1,0.8),SW);
[/asy]
Original LaTeX notation
In the figure shown, $AC=13$ and $DC=2$ units.  What is the length of the segment $BD$? Express your answer in simplest radical form.

[asy]
draw((0,5)--(12,5));
draw((12,5)--(12,0));
draw((12,0)--(0,5));
draw((12,5)--(10.1,0.8));
draw((10.48,1.64)--(9.47,2.06));
draw((9.47,2.06)--(9.09,1.22));
draw((11,5)--(11,4));
draw((11,4)--(12,4));
label("A",(0,5),W);
label("B",(12,5),E);
label("C",(12,0),E);
label("D",(10.1,0.8),SW);
[/asy]

level

Level 4

type

Geometry

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Source and history

task_id
2e6531c0-3454-5c1a-9561-65f3493075b6
task_key
geometry--test--2e6531c0-3454-5c1a-9561-65f3493075b6
task_revision_id
1
config / split
geometry / test

Official source

initial import