If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw quadrilateral ABCD? If you can, will this quadrilateral be unique?

Yes;Yes

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Yes;No

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No;Yes

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No;No

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
Yes;No

Yes we can draw a quadrilateral ABCD with AB = 3 cm, BC = 4 cm, CD = 5 cm, DA = 6 cm, but this quadrilateral can't be unique. Suppose we draw BC = 4 cm and take an arc of radius 3 cm at B. Now, point A can be taken anywhere on the arc from where the quadrilateral can be completed. So, quadrilateral can't be unique.

Suggest Corrections

Similar questions

Q. If the measure of sides of a quadrilateral are given as AB = 7cm, AD = 5 cm and BD = 10 cm. Can you draw a quadrilateral ABCD?

If the measure of sides of quadrilaterals are given as AB = 4 cm, CD = 5 cm, and angles are given as ∠ABC = $75^{\circ}$ , ∠BCD = $45^{\circ}$ and ∠CDA = $135^{\circ}$ . Can you construct a unique quadrilateral ABCD?

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $∠$ ABC= $60^{\circ}$ , can you draw a quadrilateral?

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

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $∠ A B C$ = $60^{\circ}$ , is it possible to draw the quadrilateral ABCD?

Join BYJU'S Learning Program