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1964 AMC 12 Question 10

AMC12 · 1964 AMC 12

Question 10

Given a square with side of length $s.$ On a diagonal as base a triangle with three unequal sides is constructed so that its area equals that of the square. The length of the altitude drawn to the base is:
  1. $s\sqrt2$
  2. $\dfrac{s}{\sqrt2}$
  3. $2s$
  4. $2\sqrt{s}$
  5. $\dfrac2{\sqrt{s}}$