# GATE2016-2-53

For the situation shown in the figure below the expression for $H$ in terms of $r$, $R$ and $D$ is

1. $H=D+\sqrt{r^2+R^2}$
2. $H=(R+r)+(D+r)$
3. $H=(R+r)+\sqrt{D^2-R^2}$
4. $H=(R+r)+\sqrt{2D(R+r)-D^2}$

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