Smart Math guide · Geometry Smarts

Use the Pythagorean Theorem

For a right triangle, the square of the hypotenuse equals the sum of the squares of the legs.

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The method

How to use it

  1. Identify the side opposite the right angle as c.
  2. Use a²+b²=c².
  3. Take the positive square root for length.
Worked example

See it in action

Legs 6 and 8: c=√(36+64)=10.

Check your thinking

How to verify it

6-8-10 is a scaled 3-4-5 triangle.

Watch out

Common mistake

The theorem in this form applies to right triangles.