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Question 57

A right-angled triangle has its two perpendicular sides measuring 5 centimetres and 12 centimetres. Select all the statements that are true about this triangle.

  1. Its area is 30 square centimetres.Bonne réponse
  2. It covers half as much as a rectangle measuring 5 centimetres by 12 centimetres.Bonne réponse
  3. Its area is 60 square centimetres.
  4. Its area cannot be found without knowing the length of its longest side.

Explication

The two sides meeting at the right angle serve as base and perpendicular height, so the area is half of 5 times 12, and two copies of the triangle fit together to make the rectangle those sides define. Reporting the full rectangle counts the triangle twice over, and the longest side is never needed for the calculation.

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Question 57: A right-angled triangle has its two perpendicular sides… · Geometry Basics · Questena