Question

Draw a trapezium of sides AB = 4.8 cm, BC =6.8 cm, CD = 5.4 cm, angle \[B={{60}^{o}}\] and AD||BC.

Answer 1

Hint: Draw the side with most measurements first, that way it will be easier to plot the rest of the sides or points.

Complete step-by-step solution-
For a trapezium ABCD, AB = 4.8 cm, BC = 6.8 cm, CD = 5.4 cm, \[\angle B={{60}^{o}},AD||BC\]
Step 1: Draw a line segment BC = 6.8 cm

Step 2: From point B, mark an angle \[{{60}^{o}}\] and draw an arc of 4.8 cm, marking that point as A.

Step 3: Draw a straight line from A, parallel to BC

Step 4: Draw an arc of 5.4 cm from point C on the line extended through A which is parallel to BC and mark the point of intersection between these as D.

Thus, we have drawn a trapezium with the given measurements.

Note: Remember, start by constructing BC first as the length of the side and angle at B is also given and also because BC||AD. So, it will be easier to draw two parallel lines horizontally on the page.