Question

What is YZ?

enter your answer as a decimal in the box.

Answer 1

18.4 inches.

Step-by-step explanation:

In order to solve this you have to remember that when a straight line parallel to the side of the triangle cuts the triangle the resultant smalle triangle is similar to the original and will save its proportions, in the image you can see that all of the segments on each side measure the same, meaning that the segment X-W will measure 4 units, and the segmetn ZW will measure 2, with this reference we can solve witha rule of three:

XW/ZW=XV/ZY

4/2=36.8 inches/ZY

ZY=36.8*2/4=18.4 inches

Answer 2

The midsegment postulate tells you YZ = (1/2)VX, so is

... YZ = (36.8 in)/2 = 18.4 in