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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 8/
  4. Unit 7/
  5. The Pythagorean Theorem
Grade 8 · Unit 7Topic 1 of 2~22 min

The Pythagorean Theorem

For a right triangle, a² + b² = c².

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

The relationship

For any right triangle with legs a and b and hypotenuse c (the side opposite the right angle): a² + b² = c².

Worked example

A right triangle has legs 3 and 4. Find the hypotenuse.

  1. →a² + b² = c²: 3² + 4² = c².
  2. →9 + 16 = 25, so c² = 25.
  3. →c = √25 = 5.

Watch out

The hypotenuse (c) is always the longest side and is opposite the right angle. Don't put a leg in the c spot.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Math Antics

The Pythagorean Theorem

Use a² + b² = c² to find a missing side.

Watch on YouTube
Khan Academy

Pythagorean Theorem Intro

Another walk-through of the theorem with examples.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Pythagorean theorem

Open resource
Math Worksheets 4 Kids

Pythagorean theorem worksheets

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

The Pythagorean Theorem

Question 1 of 2

Easy

A right triangle has legs 6 and 8. What is the hypotenuse?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Back toUnit 7 overview→Next up · Topic 2 of 2Volume of Cylinders, Cones & Spheres