Chapter 6.4, Problem 40PPS

To determine

The length of WY.

Answer to Problem 40PPS

  $WY=10$

Explanation of Solution

Given:

WXYZ is a rectangle.

  $XZ=2c,ZY=6,XY=8$

Calculation:

Using the Pythagoras Theorem to find the length of line XZ:

Now,

  $\begin{array}{l}XZ=\sqrt{{\left(ZY\right)}^2+{\left(XY\right)}^2}\\ XZ=\sqrt{6^2+8^2}\\ XZ=\sqrt{100}\\ XZ=10\end{array}$

Also, WY = XZ, as the diagonals of rectangle are congruent.

  $\begin{array}{l}WY=XZ\\ WY=10\end{array}$