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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?

Correct Answer: 24 sq units

We know that, 

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.

 

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