150k views
3 votes
Find the sides marked with letters all the lengths are in cm​

Find the sides marked with letters all the lengths are in cm​-example-1

1 Answer

5 votes

Answer:

w = 6.67 cm

v = 5.33 cm ( both to nearest hundredth).

Explanation:

Triangles XWZ and XYW are similar, so:

w/4 = 5/3

3w = 20

w = 20/3

= 6.667 cm.

Applying Pythagoras theorem to triangle WZY:

w^2 = 4^2 + v^2

6,667^2 = 16 + v^2

v^2 = 28.449

v = 5.334. cm.

User Marko Gresak
by
4.8k points