Apply the Pythagorean Theorem to determine unknown side lengths in right triangles

What you'll learn

1. Use the Pythagorean Theorem to find the hypotenuse of a right triangle given both legs
2. Use the Pythagorean Theorem to find a missing leg of a right triangle given the hypotenuse and the other leg
3. Solve two-dimensional real-world problems by identifying right triangles within geometric figures (diagonals of rectangles, heights of isosceles triangles, distances across fields)
4. Solve three-dimensional problems that require applying the Pythagorean Theorem more than once (space diagonal of a rectangular prism, height of a cone given slant height)
5. Express answers in exact form using simplified radicals and as decimal approximations, choosing the appropriate form based on context

Prerequisites

• Explain a proof of the Pythagorean Theorem and its converse