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KVPY2012MathematicsProperties of Triangles

In a triangle ABC , it is known that AB = AC . Suppose D is the mid- point of AC and BD = BC =2 . Then the area of the triangle ABC is -

Options

  1. A2
  2. B2 2
  3. C7
  4. D27

Correct answer

C. 7

Step-by-step solution

We know array l AB ²+ BC ²=2 ( CD ²+ BD ² ) AB ²+4=2 ( AB ² 4 +4 ) AB ²+4= AB ² 2 +8 AB ² 2 =4 AB ²=8 AB =2 2 array Now Area = 1 2 2 7 = 7 square unit.

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