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MATH / For the three identical squares shown, points A, B and C are vertices, and AB = 2√(5) cm. What is the length of AC, in centimeters? Express your answer in simplest radical form. [a…

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

problem

For the three identical squares shown, points AA, BB and CC are vertices, and ABAB = 252\sqrt{5} cm. What is the length of ACAC, in centimeters? Express your answer in simplest radical form. [asy] draw((0,0)--(0,10)--(30,10)--(30,0)--cycle); draw((10,0)--(10,10)); draw((20,0)--(20,10)); draw((0,10)--(20,0),linewidth(1)); label("AA",(0,10),NW); label("BB",(20,0),S); label("CC",(30,0),S); [/asy]
Plain-text mathematical notation (without MathML)
For the three identical squares shown, points A, B and C are vertices, and AB = 2√(5) cm. What is the length of AC, in centimeters? Express your answer in simplest radical form.

[asy]
draw((0,0)--(0,10)--(30,10)--(30,0)--cycle);
draw((10,0)--(10,10));
draw((20,0)--(20,10));
draw((0,10)--(20,0),linewidth(1));
label("A",(0,10),NW);
label("B",(20,0),S);
label("C",(30,0),S);
[/asy]
Original LaTeX notation
For the three identical squares shown, points $A$, $B$ and $C$ are vertices, and $AB$ = $2\sqrt{5}$ cm. What is the length of $AC$, in centimeters? Express your answer in simplest radical form.

[asy]
draw((0,0)--(0,10)--(30,10)--(30,0)--cycle);
draw((10,0)--(10,10));
draw((20,0)--(20,10));
draw((0,10)--(20,0),linewidth(1));
label("$A$",(0,10),NW);
label("$B$",(20,0),S);
label("$C$",(30,0),S);
[/asy]

level

Level 5

type

Prealgebra

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Source and history

task_id
690afde5-51b2-5205-bb51-ba4ec25a052d
task_key
prealgebra--test--690afde5-51b2-5205-bb51-ba4ec25a052d
task_revision_id
1
config / split
prealgebra / test

Official source

initial import