Question

In triangle PQR; $PQ=PR$ and $PT$ is perpendicular to QR. then, $PT$ bisects angle $TPR$.

If the above statement is true then mention answer as 1, else mention 0 if false.

Answer 1

In $△$s PTR and PTQ
$\angle PTR=\angle PTQ$ (each ${90}^{\circ }$)
$PQ=PR$ (Given)
$PT=PT$ (Common side)
Thus, $△PTR\cong △PTQ$
Hence, $\angle TPR=\angle TPQ$ (By CPCT)
or, PT bisects $\angle QPR$