- Derive the Pythagorean theorem from the relationship between right triangles and squares.
- Use the Pythagorean theorem to find the values of missing sides in a right triangle.
- Prove that triangles are right triangles using the converse of the Pythagorean theorem.
- Define and give examples of Pythagorean triples.
- Use the Pythagorean theorem to solve real-world problems.
- Hypotenuse – The side opposite from the right angle in a right triangle.
- It is the triangle’s longest side.
- Leg – Either of the two shorter sides of a right triangle.
- Always touches the right angle.
- Pythagorean Theorem – The theorem that relates the side lengths of a right triangle.
- The theorem states that the square of the hypotenuse equals the sum of the squares of the legs:
- Pythagorean Triple – A set of three whole numbers, a, b, and c, that satisfies the equation .
- If the side lengths of a triangle form a Pythagorean triple, it is a right triangle.