Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm? Options: A . &nbspNo, it is impossible B . &nbspWith the measure of extra angle, Yes C . &nbspWith the measure of other diagonal, Yes D . &nbspYes, definitely

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm

Question

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

Options:

A . No, it is impossible

B . With the measure of extra angle, Yes

C . With the measure of other diagonal, Yes

D . Yes, definitely

Answer: Option A
:
A
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
InΔ ADB, AB = 3cm, BD = 8cm, and AD = 4cm
Since, AB + AD

<

△

ADB can't be constructed.
So, quadrilateral ABCD can't be constructed.

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