Pythagorean Thm

About this exercise

Finding the hypotenuse of a right triangle.

Example problems

A few of the problems this exercise asks. The printable worksheet holds ten fresh ones.

  1. Right-triangle: a = ?, b = 21, c = 29. Solve.
  2. Right-triangle: a = ?, b = 4, c = 5. Solve.
  3. Right-triangle: a = 6, b = 8, c = ?. Solve.
  4. Right-triangle: a = ?, b = 24, c = 26. Solve.

Try it yourself first — open a section below only if you get stuck.

How to solve it

Square both shorter sides, add them, then take the square root.

Worked example

Sides of 6 and 8 give 36 + 64 = 100, and the square root is 10.

Common mistake

Adding the sides directly. 6 and 8 give 10, not 14.