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Question

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

A

No, it is impossible

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B

With the measure of other diagonal, Yes

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C

Yes, definitely

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D

With the measure of extra angle, Yes

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Solution

## The correct option is A No, it is impossible 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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