GMAT Practice Question - Area of triangles

Concept: Area of triangles.

An easy GMAT quant practice question in Geometry. Concept: Area of triangle. The idea of presenting this question is to recollect ways to compute the area of triangle.

Question: What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between two sides is 150o?

  1. 24 sq units
  2. 48 sq units
  3. 24\\sqrt{3}\\)
  4. 48\\sqrt{3}\\)
  5. Such a triangle does not exist

Explanatory Answer

Video explanation will be added soon

If two sides of a triangle and the included angle 'y' is known, then the area of the triangle = \\frac{1}{2}\\) * (Product of sides) * sin y

Substituting the values in the formula, we get \\frac{1}{2}\\) * 8 * 12 * sin 150o
= \\frac{1}{2}\\) * 8 * 12 * \\frac{1}{2}\\).
Note: Sin 150o = \\frac{1}{2}\\)
Area = 24 sq units.

Choice A is the correct answer.

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