# In a rhombus PQRS, and PQ = 18 cm, then the diagonal QS is: Alternate

| In a rhombus PQRS, and PQ = 18 cm, then the diagonal QS is:

A.

B. 16 cm

C. 12 cm

D. 18 cm

### Right Answer is: D

#### SOLUTION

**Alternate Approach:**In this rhombus angle SPQ = 60

^{o}, therefore angle PQR and angle PSR will be equal to 120

^{o}(supplementary angles)

We know that diagnols of a rhombus bisects the angles, PSQ and angle PQS will be equal to 60

^{o}, and hence Triangle PQS will be an equilateral triangle. Hence, QS will also be 18 cm.

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In a rhombus PQRS, and PQ = 18 cm, then the diagonal QS is: Alternate