Mathematics · Grades 8–10
Pythagorean theorem
The hypotenuse is opposite the right angle and is the longest side.
The key idea
The hypotenuse is opposite the right angle and is the longest side.
a² + b² = c² (right triangle)
Worked examples
A right triangle has legs 232 cm and 435 cm. Find the hypotenuse in cm.
√(232² + 435²) = √243049 = 493
493 cm
A right triangle has legs 100 cm and 240 cm. Find the hypotenuse in cm.
√(100² + 240²) = √67600 = 260
260 cm
Try it yourself
A right triangle has legs 90 cm and 216 cm. Find the hypotenuse in cm.
A right triangle has legs 40 cm and 96 cm. Find the hypotenuse in cm.
Check your understanding
Answers and marking notes
- 234 cm
√(90² + 216²) = √54756 = 234
- 104 cm
√(40² + 96²) = √10816 = 104
Further reading and review references
These are reference links, not copied exercises, institutional endorsement or proof of independent review.
Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.