1951 AMC 12 Question 32
AMC12 · 1951 AMC 12
If $\triangle ABC$ is inscribed in a semicircle whose diameter is $\overline{AB},$ then $\overline{AC}+\overline{BC}$ must be:
Equal to $\overline{AB}$
Equal to $\overline{AB}\sqrt2$
$\ge \overline{AB}\sqrt2$
$\le \overline{AB}\sqrt2$
$\overline{AB}^{\,2}$