Question

What is the length of line segment AB?1 inchv3 inches4 inches475 inches​

Answer 1

Answer:

$AB=\sqrt{3}\ in$

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

$cos(30^o)=\frac{AB}{BD}$ ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

$cos(30^o)=\frac{AB}{2}$

Remember that

$cos(30^o)=\frac{\sqrt{3}}{2}$

so

$\frac{AB}{2}=\frac{\sqrt{3}}{2}$

$AB=\sqrt{3}\ in$