Question

If you are given AB = 5cm, BC =6cm, CD = 7cm, DA = 6cm and $\angle$ABC=${60}^{\circ }$. Can you draw the quadrilateral?

• A. Yes
• B. No
• C. Maybe
• D. With one more infomation, it is possible

Answer 1

The correct option is A

Yes

Let us try to draw the quadrilateral:

Step 1: Draw BC = 6cm

Step 2: At B, draw an angle = ${60}^{\circ }$. Along that angle, make an arc of 5cm and mark it as point A

Step 3: From A, draw an arc of 6cm

Step 4: From C, draw an arc of 7 cm such that it intersect the arc made from A. Mark the point of intersection as D.

Step 5: Join ABCD to complete the quadrilateral

Is this quadrilateral unique? Yes it is.

If we move it keeping all the angle length constant $△$ABC will change. So, there is only one quadrilateral ABCD with AB = 5cm, BC = 6cm, CD=7cm, BA = 6cm, $\angle$ ABC = ${60}^{\circ }$