SOLUTION: Triangles PQR and XYZ are similar. If PQ=6, PR=4, and XY=9, what is the length of side XZ?

Algebra ->  Pythagorean-theorem -> SOLUTION: Triangles PQR and XYZ are similar. If PQ=6, PR=4, and XY=9, what is the length of side XZ?      Log On


   

Question 1112250: Triangles PQR and XYZ are similar. If PQ=6, PR=4, and XY=9, what is the length of side XZ?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
Since the triangles are similar, the corresponding sides are proportional:


abs%28XZ%29%2Fabs%28XY%29 = abs%28PR%29%2Fabs%28PQ%29,   or   abs%28XZ%29%2F9 = 4%2F6,


which implies  |XZ| = %289%2A4%29%2F6 = 6 units.

Solved.
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