Mathematics

If the area of ΔPQR above is 12√3 cm2, find the value of q?

If the area of ΔPQR above is 12√3 cm2, 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