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MathGrade 7-9

Pythagorean Theorem Answer Key

Discover the Pythagorean theorem and apply it to find missing side lengths of right triangles.

Looking for Pythagorean Theorem answers? This complete answer key provides verified solutions for all student exploration activities and assessment questions in the ExploreLearning Pythagorean Theorem Gizmo.

100% Free • Step-by-step explanations • Perfect for homework help • Covers all activities • Updated for 2026

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Prior Knowledge Questions

Q1.What is a right triangle?

Answer

A right triangle is a triangle that has one 90-degree angle.

Q2.What is the hypotenuse?

Answer

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Q3.State the Pythagorean Theorem.

Answer

a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle.

Activity A – Finding Missing Sides

Q4.A right triangle has legs of 3 and 4. What is the hypotenuse?

Q5.Can the Pythagorean theorem be used on non-right triangles?

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