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Sed (CoderLovesEggs) Paper 2 with Solutions · Q7

Paper 2Logic & proofGeometrySequences & seriesNumber & counting

The side lengths of a right triangle are in arithmetic sequence.

Which of the following statements must be true?

  • I. The perimeter of the triangle is longer than twice the length of the hypotenuse.
  • II. The difference between the largest and smallest angles in the triangle is greater than 60∘60^\circ.
  • III. If all side lengths are integers, then the area of the triangle is divisible by 6.
ANone of the above;
BI only;
CII only;
DIII only;
EI, II only;
FI, III only;
GII, III only;
HI, II, and III.

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