1953 AMC 12 Question 45
AMC12 · 1953 AMC 12
The lengths of two line segments are $a$ units and $b$ units respectively. Then the correct relation between them is:
$\dfrac{a+b}{2}\gt\sqrt{ab}$
$\dfrac{a+b}{2}\lt\sqrt{ab}$
$\dfrac{a+b}{2}=\sqrt{ab}$
$\dfrac{a+b}{2}\le\sqrt{ab}$
$\dfrac{a+b}{2}\ge\sqrt{ab}$