8th Grade · Geometry

Pythagorean Theorem

8.G.B.6

Definition

In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse. a2 + b2 = c2.

Examples

  • 32 + 42 = 9 + 16 = 25 = 52, so c = 5.
  • Works ONLY for right triangles.

Key rule

c is always the hypotenuse — the longest side, across from the right angle.

Memory hook

a2 + b2 = c2, for right triangles only.