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Juan Set 2 Paper 1 · Q22

Paper 1Geometry

Bonus question. The altitude of a triangle is a straight line drawn from a corner vertex down to the opposite side so that it hits that side at a right angle.

In a triangle ABCABC, the length of side ABAB is equal to half the length of side BCBC. Given that the lengths of two of this triangle's altitudes are 4 units and 10 units, which of the following could be the length of the third altitude?

  • I. 2 units
  • II. 5 units
  • III. 8 units
AOnly I
BOnly II
COnly III
DI and II
EII and III

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