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Question

A student of class VII attempts to make a triangle of dimension 2 cm, 3 cm and 6 cm. He drew the longest side first, thereby generating two vertices of the triangle. He could not get the third vertex. What could be the reason?


  1. No angle of the triangle is given

  2. The sum of two sides is less than the third side

  3. The first step is wrong

  4. He does not know to draw the arc


Solution

The correct option is B

The sum of two sides is less than the third side


In any triangle the sum of two sides is greater than the third side. With the given dimensions, the sum of two sides is less than the third side, i.e. 2 + 3 < 6, hence the triangle cannot be constructed.

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