What is the area of an obtuse angled triangle given below with two sides are 8 and 12 and the angle ...........

Quantitative Aptitude ( CCS) Mensuration 2D

What is the area of an obtuse angled triangle given below with two sides are 8 and 12 and the angle included between two sides is 150 deg?

48 sq units

24 sq units

12 sq units

6 sq units

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Explanation:

The area of a triangle with two sides given and included angle
A = 1/2 x product of sides x Sin(angle)
Here the two sides are 8 & 12
Angle = 150
Area = 1/2 x 8 x 12 x sin150
Sin(150) = sin(90+60) = cos(60) = 1/2
A = 48 x 1/2 = 24
Area of the given triangle = 24 sq units.