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Question

# Construction of a unique quadrilateral ABCD is possible with AB = 4cm, BC = 6cm, AC = 7cm, CD = 5cm and BD = 8cm.

A

True

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B

False

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Solution

## The correct option is A True You don't need to draw the full quadrilateral. You just need to know the basic property of triangles -" The sum of the lengths of any two sides of a triangle is always greater than the third side.” Every quadrilateral is made of two triangles. So, if we can construct two triangles, we can construct the full quadrilateral. Here is a rough diagram of quadrilateral ABCD. We have measures of AB, BC, AC, CD and BD using which we can construct triangles △​ ABC and △​ BDC. So, we can construct the quadrilateral ABCD.

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