Geometry: The Pythagorean Theorem

Grade 8: right triangles, circles, and volume.

10 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. A right triangle has legs 3 cm and 4 cm. Find the length of the hypotenuse.
  2. A right triangle has legs 6 cm and 8 cm. Find the length of the hypotenuse.
  3. A circle has radius 5 cm. Find its circumference (use π ≈ 3.14).
  4. A rectangular prism has length 4 cm, width 3 cm, and height 5 cm. Find its volume.
  5. In a right triangle, the side opposite the right angle is called the:
  6. A right triangle has legs 5 cm and 12 cm. Find the hypotenuse.
  7. A circle has diameter 10 cm. Find its area (use π ≈ 3.14).
  8. Find the volume of a cube with side length 6 cm.
  9. The formula for the circumference of a circle is:
  10. A ladder 13 m long is leaning against a vertical wall. The foot of the ladder is 5 m out from the base of the wall. How far up the wall does the top of the ladder reach, in metres?

Answer these free