We think you are located in United States. Is this correct?

Chapter summary

Test yourself now

High marks in science are the key to your success and future plans. Test yourself and learn more on Siyavula Practice.

Sign up and test yourself

15.5 Chapter summary

  • A square number (a perfect square) is the product of a number multiplied by itself.
  • The number underneath the square root sign is called the radicand.
  • A square root that cannot be simplified is called a surd.
  • If we cannot remove the square root, then we say that the answer is in surd form.
  • The theorem of Pythagoras is a rule that applies only to right-angled triangles.
  • The side opposite the right angle of a right-angled triangle is called the hypotenuse.
  • The hypotenuse is always the longest side of a right-angled triangle.
  • If \(\triangle XYZ\) is a right-angled triangle with hypotenuse \(x\) and sides \(y\) and \(z\), then \(x^2 = y^2 + z^2\) (Pythagoras).
  • If we know the lengths of all three sides of a triangle, we can use the theorem of Pythagoras to determine if a triangle is a right-angled triangle or not.