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Pythagoras' Theorem

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  • What is the length of the rope?
    17m
  • The hypotenuse of this triangle is...
    AB
  • Use Pythagoras’ theorem to find the length of the hypotenuse, 𝑥 .
    25cm
  • What is the Hypotenuse in this triangle
    XZ
  • Use Pythagoras’ theorem to find the length of the hypotenuse for the isosceles right-angled triangle shown, correct to two decimal places.
    15.84m
  • Find the value of 𝑥 , correct to two decimal places.
    2.83
  • Calculate the length of AG, the diagonal of the cube, correct to two decimal places.
    8.66cm
  • Use Pythagoras’ theorem to find the hypotenuse of the right-angled triangle, correct to two decimal places.
    4.12m
  • A right-angled triangle has side lengths of 7cm, 24cm and 25cm. Which side length is the hypotenuse?
    25cm
  • √121
    11
  • Where is the Hypotenuse always located?
    It is opposite the right angle in the triangle.
  • Ben (𝐵 ) walks 3.5 km west from 𝑂 and Lisa (𝐿 ) walks 1.8 km south from point 𝑂 . How far is Lisa from Ben? Answer correct to two decimal places.
    3.94km
  • What is a right-angle?
    An angle that is 90 degrees.
  • 3²
    9
  • What does the word Hypotenuse mean?
    It is the longest side in a right-angled triangle.
  • Find the value of 𝑏 , correct to two decimal places.
    6.24cm
  • What is the Hypotenuse in this triangle? AB = 5cm, BC = 12cm, AC =13cm
    AC
  • Find the value of 𝑎 ² + 𝑏 ² when 𝑎 = 5 and 𝑏 = 8 .
    89
  • Use Pythagoras’ theorem to find the hypotenuse of the right-angled triangle, correct to two decimal places.
    10.85m
  • Find the diameter of a 14.5 -cm-tall cylindrical pen holder if a pen of length 18.3 cm fits perfectly diagonally in the tin, as shown. Round your answer to two decimal places.
    11.16cm
  • What is the length of the rope?
    25m
  • What do we call triangles with three equal sides and three equal angles?
    Equilateral triangle.
  • What is an acute angle?
    An angle that is less than 90 degrees.
  • A rectangular gate has dimensions as shown in the diagram above. Determine the length of the diagonal support beam, correct to two decimal places.
    3.03m
  • Find the length of the unknown side in the right-angled triangle, correct to two decimal places.
    0.56cm
  • What is this type of triangle called?
    Isosceles Triangle
  • What is Pythagoras' Theorem if the we have a triangle with sides a, b and c, where c is the hypotenuse?
    a² + b² = c²
  • √81
    9
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