Right Triangles & Pythagorean Theorem

In a right triangle, the areas of squares on the legs combine to equal the area of the square on the hypotenuse, yielding a^2 + b^2 = c^2.

What you'll learn

  • Identify the hypotenuse as the side opposite the right angle in any orientation.
  • Explain a² + b² = c² as an area relationship.
  • Use the theorem only when a right angle is established.
  • Take a square root after solving for a squared side length.
  • Create right triangles from displacement, altitude, or coordinate change.

Before you start

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