## Trigonometry (11th Edition) Clone

$m=45$ and $n=60$
Similar triangles have corresponding sides in proportion. Side of length 75 corresponds to side of length 50 and side of length n corresponds to side of length 40. This leads to the following proportion: $\frac{75}{50}=\frac{n}{40}$ Solving, $75\times40=50\times n$ $3000=50n$ Dividing both sides by $50, $$n=60. Side of length 75 corresponds to side of length 50 and side of length m corresponds to side of length 30. This leads to the following proportion: \frac{75}{50}=\frac{m}{30} Solving, 75\times30=50\times m 2250=50m Dividing both sides by 50,$$m=45$.