Right Triangles - Review Set A

Mr. Guzman fully extended his 18-foot ladder, so that the top of the ladder just reached the top of his house. The distance from the house to the base of the ladder was 12 feet. What is the height of Mr. Guzman's house?

The diagram shows some measurements Darryl took to find the height of a stone monument. What is the distance from B to C rounded to the nearest foot?

Marty has a square garden. Each side is 10 yards long. What is the length of $$\overline{RT}$$  ?

Tony wants to attach a cable from the top of a tree to the ground to keep it from tipping over. The tree, which is growing perpendicular to the ground, is currently 15 feet tall. Tony’s cable is 22.5 feet long. How far from the base of the tree should Tony attach the cable to the ground?

Which of the following sets of side lengths would form a right triangle?

Find the value of x.

Find the value of x that makes the triangle a right triangle?

Find the values of a and b.

Find the value of x.

Find the measure of ∠M.