What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between the two sides is 150o?  Answers:  A) 24 sq units  B) 48 sq units  C) 24 under root 3  D) 48 under root 3  E) Such a triangle does not exist
Explanatory Answer   If two sides of a triangle and the included angle 'y' is known, then the area of the triangle = 1/2 * (Product of sides) * sin y   Substituting the values in the formula, we get 1/2 * 8 * 12 * sin 150o   = 1/2 * 8 * 12 * 1/2.   Note: Sin 150o = 1/2   Area = 24 sq units.   Choice 24 sq units
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What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between the two sides is 150o?