Respuesta :
Answer:
[tex]AB=\sqrt{3}\ in[/tex]
Step-by-step explanation:
The correct question is
The diagonal of rectangle ABCD measures 2 inches in length.
What is the length of line segment AB?
The picture of the question in the attached figure
we know that
In the right triangle ABD
[tex]cos(30^o)=\frac{AB}{BD}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(30^o)=\frac{AB}{2}[/tex]
Remember that
[tex]cos(30^o)=\frac{\sqrt{3}}{2}[/tex]
so
[tex]\frac{AB}{2}=\frac{\sqrt{3}}{2}[/tex]
[tex]AB=\sqrt{3}\ in[/tex]
