Geometry and TrigonometryEasy–MediumDiagonal brace of a rectangular lid
Geometry and Trigonometry practice question
A rectangular lid measures 5 decimetres by 12 decimetres. A straight brace runs from one corner of the lid to the opposite corner. How long, in decimetres, is the brace?
Answer: 13
The brace is the diagonal — the hypotenuse of a right triangle with legs 5 and 12: √(25 + 144) = √169 = 13.
Common wrong answers
- If you answered 17
- 17 is 5 + 12, the two sides added; the diagonal is shorter than that.
- If you answered 60
- 60 is 5 × 12, the lid's area, not a length.
- If you answered 169
- 169 is 5² + 12²; take the square root.
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- Easy–Medium
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A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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