If the area of ΔPQR above is 12√3 cm

^{2}, find the value of q?-
**A.**

6 cm -
**B.**

7 cm -
**C.**

8 cm -
**D.**

5 cm

##### Correct Answer: Option A

##### Explanation

Area of a triangle = ^{1}/_{2} ab Sinθ

12√3 = ^{1}/_{2} x 8 x q sin 60

12√3 = 4 x q x ^{√3}/_{2}

12√3 = 2q√3

q = | 12√3 |

2√3 |

q = 6