Based in the Seattle Area.

Free study guides and discussions about various topics in Mathematics. Thanks for stopping by!

An interesting similar triangles problem

This is an interesting geometry problem from an SAT practice exam.

In triangle $UVW$, the measure of $\angle U$ is $90$ degrees, $WV=39$, and $UV=36$. Triangle $XYZ$ is similar to triangle $UVW$, where $\angle X$, $\angle Y$, and $\angle Z$ correspond to $\angle U$, $\angle V$, and $\angle W$, respectively. If each side of triangle $XYZ$ is $3/5$ the length of its corresponding side of triangle $UVW$, what is the value of $cos\ Z$?

Check out the solution and discussion here.

For a free SAT/ACT study guide, please head here.

Using trigonometric identities to solve an area problem

When managing the path to solution is really important: A tricky 3rd derivative question