Using right triangles, the Pythagorean theorem, and trigonometry

By the end you’ll be able to

• Apply the Pythagorean theorem to find a missing side length in a right triangle and to solve related problems in the coordinate plane or real-world contexts.
• Use the converse of the Pythagorean theorem to determine whether a triangle is a right triangle when appropriate.
• Recognize and apply side-length relationships in $45^\circ$-$45^\circ$-$90^\circ$ and $30^\circ$-$60^\circ$-$90^\circ$ triangles.