Question

Triangle XY Z is similar to triangle PQR
Solve for k.
k=
19.5
10.5
R
5.5

Answer 1

We can write a proportion between short and long legs:

$10.5\div k = 16.5\div 5.5$

Solving for k yields

$k = \dfrac{10.5\cdot 5.5}{16.5}=3.5$