Question

construction of quadrilateral ABCD when three sides and two diagonals are given: side AB=5 cm, side AD=4.6 cm, side BC=5.3 cm, diagonal AC=5 cm and diagonal BD=6 cm​

Answer 1

Answer:

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.