MCQ
In Fig. $\text{PQ}\perp\text{RQ},\text{PQ}=5\text{cm}$ and $\text{QR}=5\text{cm}.$ Then $\triangle\text{PQR}$ is:
  • A
    A right triangle but not isosceles.
  • An isosceles right triangle.
  • C
    Isosceles but not a right triangle.
  • D
    Neither isosceles nor right triangle.

Answer

Correct option: B.
An isosceles right triangle.
Since, $PQ$ Perpendicular to $RQ$,
So, $\triangle\text{PQR}=90^\circ$
$\therefore\triangle\text{PQR}$ is right angled triangle.
Also, in $\triangle\text{PQR},$
$\text{PQ}=\text{QR}$
$\triangle\text{PQR}$ is an isosceles triangle.
Hence, $\triangle\text{PQR}$ is an isosceles right angled triangle.

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