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1982 AMC 12 Question 21

AMC12 · 1982 AMC 12

Question 21

In the adjoining figure, the triangle $ABC$ is a right triangle with $\angle BCA=90^\circ.$ Median $CM$ is perpendicular to median $BN,$ and side $BC=s.$ The length of $BN$ is

Question illustration
  1. $s\sqrt2$
  2. $\frac32s\sqrt2$
  3. $2s\sqrt2$
  4. $\frac{s\sqrt5}{2}$
  5. $\frac{s\sqrt6}{2}$