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Oak MathsTest · Maths

Length of a shorter side

The starter and exit quiz of the lesson “Length of a shorter side”, from the unit “Geometrical properties: similarity and Pythagoras' theorem” (Year 9 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. The triangle formed from these three squares is right-angled. Find the area of the square labelled h units².
  2. The triangle formed from these three squares is right-angled. The area of the square labelled p units² is ___ units².
  3. The area, w, of the largest square in this diagram, is ___ cm².
  4. Find the length of the hypotenuse of this triangle.
  5. The length of the hypotenuse for this triangle is ___ units.
  6. The length of the hypotenuse of this triangle is ___ cm.
  7. Find the length of the shorter side of this right-angled triangle, labelled b.
  8. The length of the shorter side of this right-angled triangle, labelled c is ___ cm.
  9. The length of the shorter side of this right-angled triangle, labelled d, is ___ cm, rounded to 2 decimal places.
  10. The length of the side x cm is ___ cm, rounded to 2 decimal places.
  11. A right-angled triangle has a hypotenuse of 130 cm. The length of one of its shorter sides is 66 cm. Using Pythagoras' theorem, the perimeter of this triangle is ___ cm.
  12. Calculate the area of this right-angled triangle.

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Length of a shorter side · Examplary