9th Class
Mathematics
Quadrilaterals
Question Bank
Quadrilateral
question_answer
If PQRS be a rhombus, PR is its smallest diagonal and \[\angle \mathbf{PQR}=\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\], find length of a side of the rhombus when \[\mathbf{PR}=\mathbf{6}\]cm.
A) 6 cm
B) 3 cm
C) \[6\sqrt{2}\]cm
D) \[3\sqrt{3}\]cm
Correct Answer:
A
Solution :
(a): \[\angle PQR={{60}^{{}^\circ }}\] \[PQ=QR\] \[\therefore \]\[\angle QPR=\angle QRP={{60}^{{}^\circ }}\] \[\therefore \]\[\Delta PQR\] is an equilateral triangle.