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Question

If we have the measure of 4 sides of a quadrilateral and measure of one of its diagonals, how many distinct quadrilaterals can we construct?
  1. 1

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Solution

The correct option is A 1
  • When all four sides and one diagonal of a quadrilateral are given, it can be viewed as two triangles whose all three sides are known.
  • A triangle with a given set of sides is always distinct. Two distinct triangles will hence make a unique quadrilateral.
So, we can make 1 unique quadrilateral if we have 4 sides and 1 diagonal.

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