Applying The Pythagorean Theorem P2

Cluster: Understand And Apply The Pythagorean Theorem Pt2

Task Overview: Building upon the discovery of the proof of the Pythagorean Theorem in the previous iedapts lesson, students will use The Pythagorean Theorem to find the missing lengths of the legs and the hypothenuse of the right triangles presented within this lesson. Student will also use the converse of the Pythagorean Theorem to prove whether the lengths of a triangle could be the lengths of the right triangle.

8.G.B.7 Apply the Pythagorean Theorem and its converse to solve real-world and mathematical problems.

This standard focuses on the application of the Pythagorean Theorem. Students will apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in both two and three-dimensional objects

Objectives

Students should be able to apply The Pythagorean Theorem to right triangles and find the missing leg or hypotenuse. Students should be able to identify whether three sides of a triangle represent a right triangle.

Prerequisites

• 8.G.B.6 – Explain a proof of the Pythagorean Theorem and its converse.
• Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. (7.G.B.6)
• Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. (8.EE.A.2)