Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

True

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False

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Solution

The correct option is B
False

If we have the measures of all the sides of a quadrilateral and its one diagonal, we can draw two triangles and hence, form a quadrilateral.

ABCD comprises of two triangle $△$ ADB & $△$ CDB

In Δ ADB, AB = 3cm, BD = 8cm, and AD = 4cm

Since, AB + AD $<$ BD

$△$ ADB can't be constructed.

So, quadrilateral ABCD can't be constructed.

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Similar questions

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

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

Can we draw a quadrilateral ABCD with following AB = 3 cm, BC = 5 cm, AD = 4 cm, CD = 7 cm and BD = 8 cm?

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

A B C D

A B = 4 cm, B C = 3.1 cm, C D = 3 cm, A D = 4.2 cm

A C = 5 cm

B D

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