Congruence and Similarity to Solve Problems Practice Test

Triangle $$PQR$$ has a right angle at $$Q$$. If triangle $$PQR$$ is similar to triangle $$STU$$ with similarity ratio $$3:2$$, and the area of triangle $$STU$$ is 24 square units, what is the length of the hypotenuse of triangle $$PQR$$ if the hypotenuse of triangle $$STU$$ is 8 units?

A right triangle has legs of length $$a$$ and $$b$$ and hypotenuse of length $$c$$. A second triangle is formed by connecting the midpoints of the three sides of the original triangle. If the area of the original triangle is 60 square units, what is the area of the triangle formed by connecting the midpoints?