Answer:
Explanation:
we would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
q² = p² + r² - 2(p × r)CosQ
q² = 12² + 6² - 2(12 × 6)Cos92
q² = 144 + 36 - 2(72)Cos92
q² = 180 - 144 × - 0.0349
q² = 180 + 5.0256
q² = 185.0256
q = √185.0256
q = 13.6 to the nearest integer