Question

I need help in understanding this type of problem. WILL MEDAL Triangle UVW is similar to triangle XYZ. What is the length YZ? Round to the nearest tenth.
http://www.thelearningodyssey.com/Assess/DPT/QIEImagesStorage/AQ13G/AQ13GE_GE538_17_stem1_2.jpg

Answer 1

I need the steps taken to so i know how to do future probs

Answer 2

Please and thank you!

Answer 3

If they are similar then the have the same 'proportions'

the ratio of corresponding edges remains the same if triangles are similar

you can see that UW/VW = 22/15

SO
XZ/YZ= 22/15

so 10/YZ =22/15

so you can solve YZ

Answer 4

6.8?

Answer 5

@MrNood

Answer 6

I think?

Answer 7

that's the correct equation - just solve for x - I am not going to verify the answer - you should have confidence to solve it.

Answer 8

@ardentpikachu
If you are not sure of your answer, you can always do a check by calculating each side of the equation and see if they come out equal.
Left side: \(\large \frac{22}{15}=?\)
right side: \(\large \frac{10}{x}=?\)
If they come out equal, your solution is correct.