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1963 AMC 12 Question 10

AMC12 · 1963 AMC 12

Question 10

Point $P$ is taken interior to a square with side-length $a$ and such that it is equally distant from two consecutive vertices and from the side opposite these vertices. If $d$ represents the common distance, then $d$ equals:
  1. $\dfrac{3a}{5}$
  2. $\dfrac{5a}{8}$
  3. $\dfrac{3a}{8}$
  4. $\dfrac{a\sqrt2}{2}$
  5. $\dfrac a2$