MathDB

The diagnols

\overline{AC}

and

\overline{BD}

of a quaderilateral

ABCD

meet at

O

. Let

s_1

be the area of

\triangle{AOB}

and

s_2

be the area of

\triangle{OCD}

. Then show that

\sqrt{s_1}+\sqrt{s_2} \leq \sqrt{s}

Also find a geometrical condition for equality to hold (By geometrical condition we mean something like parallel lines, perpendicular lines,bisecting lines etc.)

Problem Statement