Question

In the given figure, $PR>PQ$ then $AR>AQ$
If the above statement is true then mention answer as 1, else mention 0 if false

Answer 1

Since $PR>PQ$, the angles opposite to the sides will also have the same relation.
$=>\angle PAR>\angle PAQ$
From the figure, we see that $△PAR$ and $△PAQ$ have angles $\angle APR$ and $\angle APQ$ equal to a right angle.

We know that sum of angles in a triangle $={180}^o$

So, in the two triangles, $△PAR$ and $△PAQ$ , if $\angle APR=\angle APQ$
$\angle PAR>\angle PAQ$
$=>\angle AQP>\angle ARP$ as the sum of all angles should be $={180}^o$
Hence, the sides opposite to them also share the same relation.

$=>AR>AQ$