Question

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?

• A. Yes;Yes
• B. Yes;No
• C. No;Yes
• D. No;No

Answer 1

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.