8th Grade · Geometry

Converse

8.G.B.6

Definition

If the sum of the squares of two sides equals the square of the third, then the triangle is a right triangle.

Examples

  • Sides 6,8,10: 36+64 = 100 = 102 — right triangle.
  • Sides 4,5,7: 16+25 = 41≠49 — NOT a right triangle.

Key rule

Use the converse to check if a triangle is right by testing a2+b2 = c2.

Memory hook

Check the equation to prove it's a right triangle.