3
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
For triangle $ABC$, points $D$ and $E$ are   the midpoints of sides $AB$ and $AC$,  respectively.  Side $BC$ measures six inches.   What is the measure of segment $DE$ in inches?

[asy]
draw((-5,-5)--(10,3)--(0,10)--cycle);
draw((-2.5,2.5)--(2.5,-1));
label("$A$",(-5,-5),SW);
label("$B$",(0,10),N);
label("$C$",(10,3),SE);
label("$D$",(-2.5,2.5),NW);
label("$E$",(2.5,-1),SE);
[/asy]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
For triangle $ABC$, points $D$ and $E$ are   the midpoints of sides $AB$ and $AC$,  respectively.  Side $BC$ measures six inches.   What is the measure of segment $DE$ in inches?

[asy]
draw((-5,-5)--(10,3)--(0,10)--cycle);
draw((-2.5,2.5)--(2.5,-1));
label("$A$",(-5,-5),SW);
label("$B$",(0,10),N);
label("$C$",(10,3),SE);
label("$D$",(-2.5,2.5),NW);
label("$E$",(2.5,-1),SE);
[/asy]
train