Grade 8 · Math

Find a right-triangle hypotenuse

LET’S TRY ONE

A right triangle has legs 6 cm and 8 cm. Find its hypotenuse.

10

62 + 82 = 100, and the positive square root of 100 is 10.

Your turn!
Learning steps & teaching tips

Apply the Pythagorean theorem to perpendicular side lengths.

  1. The hypotenuse is opposite the right angle and must be the longest side.
  2. Work through the example. Explain how its evidence supports the answer.
  3. Try a new question; use the explanation to check your thinking.

Try it together

Write or draw your own example with different numbers. Solve it, then ask a partner to check the method as well as the answer.

The hypotenuse is opposite the right angle and must be the longest side.