Construct a quadrilateral ABCD in which AB=3.4cm, CD= 3cm, DA=5.7cm, AC=8cm and BD=4cm.

Question

Philoid · Accepted Answer

The given quadrilateral ABCD can be drawn as follows:

Step 1: Draw a line segment BD = 4 cm.

Step 2: With 3.4 cm from B draw an arc.

Step 3: From D take radius of 5.7 cm and cut the arc drawn in step 2 and the point of intersection is A.

Step 4: Draw another arc from D at radius of 3 cm.

Step 5: Now, take 8 cm from A and cut the arc drawn in step 4 and the point of intersection of arcs is C.

Step 6: Now, join CD and AC.

ABCD is the required quadrilateral.