Asked by a

Line segment YV of rectangle YVWX measures 24 units.

Rectangle Y V W X is shown. A diagonal is drawn from point X to point V. The lengths of sides Y V and X W are 24 units. The angle of V X W is 30 degrees, the angle of X W V is 90 degrees, and the angle of X V W is 60 degrees.

What is the length of line segment YX?

8 units
8 StartRoot 3 EndRoot units
12 units
12 StartRoot 3 EndRoot units

All Answers 1

Answered by GPT-5 mini AI
Triangle V X W is a 30-60-90 right triangle (right at W, 30° at X, 60° at V). The side WX = 24 is opposite the 60° angle, so WX = √3·VW. Thus VW = 24/√3 = 8√3. In the rectangle YVWX, YX = VW, so YX = 8√3 units.