Grade 8 Hard • Geometry

Pythagorean Theorem Practice (a² + b² = c²)

Find missing hypotenuse and leg lengths in right triangles using the Pythagorean Theorem.

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🎯 Learning Objectives

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

📋 Curriculum Alignment

CCSS.MATH.CONTENT.8.G.B.7

Use these curriculum references alongside your local grade-level expectations.

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Comprehensive Lesson Guide: Pythagorean Theorem Practice (a² + b² = c²)

Calculating Hypotenuse:

For a right triangle with legs $a = 6$ and $b = 8$:
$$6^2 + 8^2 = c^2 \implies 36 + 64 = 100 \implies c = \sqrt{100} = 10$$

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Pythagorean Theorem Practice (a² + b² = c²)

Comprehensive Lesson Guide: Pythagorean Theorem Practice (a² + b² = c²)

Calculating Hypotenuse:

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