Question

△WPJ∼△DNJ What is PWPW ? Enter your answer in the box.

Answer 1

Use CPCTC and make ratios and proportionalities to find the value of segment PW:

If △WPJ∼△DNJ, then according to CPCTC, WP must be proportional to DN and PJ must be proportional to JN. Now, we can make a ratio:

$\frac{WP}{DN}= \frac{PJ}{NJ}$ 

Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64

$\frac{WP}{87.5}= \frac{64}{56}$

Solve for x. You can do it by cross-multiplication.

$\frac{WP}{87.5}= \frac{64}{56} \\ 56*WP=64*87.5 \\ 56*WP=5600 \\ WP=100$

The measure of segment WP is 100 meters.