    Question

# We can construct an unique quadrilateral ABCD with AB = 4 cm, BC = 6 cm, AC = 7 cm, CD = 5 cm and BD = 8 cm.

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 more 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. Also condition for conducting a triangle holds for △ABC and △BDC. So, we can construct the quadrilateral ABCD.  Suggest Corrections  0      Similar questions  Related Videos   Construction of Quadrilateral When 3 Sides and 2 Diagonals Are Given
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