MATHEMATICAL REASONING

$AD,BE$ and $CF$, the altitude of $\mathrm{\Delta }ABC$ are equal. Then

 In the given figure, $PQR$ is an equilateral triangle and $QRST$ is a square. Then $\angle PSR=$ _______

In the given figure, if $PA=PD$ and $PB=PC$. Then $\mathrm{\Delta }PAB$ is congruent to _____

If $AB=DE,AC=DF,\angle A=\angle D={90}^{\circ }$ and $BC=5cm$, then $EF$ is equal to _____$\mathrm{cm}$.

In figure, $\angle B=\angle A$ and $\angle C<\angle D$, then,

Which of the following is not a criterion for congruence of triangles?

In $\mathrm{\Delta }ABC$, the medians $AD,BE$ and $CF$ pass through G. If $BG=6$, then $BE$ is _____

If $AD$ is bisector of $\angle A$ and $D$ is perpendicular to $BC$. Then $\mathrm{\Delta }ABC$ is
____