Pythagorean Theorem, Special Right Triangles, and Geometric Mean

Solve for x. Round your answer to the nearest tenth.

Solve for x. Round your answer to the nearest tenth.

In Fayetteville, the library is 3 miles due west of the post office and the zoo is 5 miles due north of the library. What is the distance from the post office to the zoo? Round your answer to the nearest tenth.

Two vertical posts stand side by side. One post is 9 feet tall and the other is 16 feet tall. If a 23-foot wire is stretched between the tops of the posts, how far apart are the posts?

A18.6-inch laptop is featured in a sales ad for $799. This distance is the diagonal distance across the screen. If the screen measures 9.3 inches in height, what is the width of the screen?

Find the missing side lengths. Leave your answers as radicals in simplest form.

Find the missing side lengths. Leave your answers as radicals in simplest form.

Find the missing side lengths. Leave your answers as radicals in simplest form.

Find the geometric mean of 5 and 36. Round to the nearest tenth.

Solve for x. Round to the nearest tenth.