Question

construct a quadrilateral ABCD, given that AB = 4 cm, BC = 5 cm, AC = 6 cm, AD = 4.6 cm, BD=3cm​

Answer 1

a quadrilateral ABCD, given that AB = 4 cm, BC = 5 cm, AC = 6 cm, AD = 4.6 cm, BD=3cm​

• Given,
• Sides: AB = 4 cm, BC = 5 cm, DA = 4.6 cm
• Diagonals: AC = 6 cm, BD = 3 cm.
• Steps of construction:
• Draw a diagonal BD = 3 cm.
• From point B draw an arc with a scale of 4 cm below the line and an arc with a scale of 5 cm above the line.
• From point D draw an arc with a scale of 4.6 cm below the line.
• The point below the line BD, where the arcs intersect, mark that point as A.
• Now, join AD and AB.
• From point A draw an arc with a scale of 6 cm above the line BD, where this arc intersects the arc drawn from B.
• Now, mark the point of intersection of arcs from points A and B as C.
• Join CD, AC and BC.
• Hence the required quadrilateral ABCD.

Answer 2

We have constructed a quadrilateral ABCD with the given measurements ( refer the figure)

Step-by-step explanation:

Given that ABCD is a quadrilateral.

Also given that AB=4 cm, BC=5 cm, AC=6 cm, AD=4.6 cm, BD=3 cm​

To construct a quadrilateral ABCD :

Draw a line segment AB of length 4 cm

From the point B draw a line segment BC of 5 cm

Again draw a line segment from A of 4.6 cm and mark as D join it

Join the points A and C of length 6 cm we that the diagonal AC

Again join the points from B And D of 3 cm we get another diagonal BD

Now we have constructed a quadrilateral ABCD with the given measurements ( refer the figure )