Question

the diagonal of rectangle abcd measures 2 inches in length. what is the length of line segment ab? 1 inch √3 inches 4 inches 4√3 inches

Explanation:

Step1: Identify triangle ABD

Triangle ABD is right-angled at A, hypotenuse BD=2 inches, angle at D=30°.

Step2: Apply 30°-60°-90° triangle ratio

In 30°-60°-90° triangle, side opposite 30° is half hypotenuse. AB is opposite 30°, so AB=2*(1/2)=1.

Answer:

A. 1 inch