Construct a trapezium ABCD in which AB=6cm, BC=4cm, CD=3.2cm, ∠B = 75° and DC||AB.

Question

Construct a trapezium ABCD in which AB=6cm, BC=4cm, CD=3.2cm, ∠ B = 75° and DC||AB.

Philoid · Accepted Answer

The given trapezium ABCD can be drawn as follows:

Step 1: Draw a line segment AB = 6 cm

Step 2: With B as centre, draw a ray BX such that ∠ABX = 75°.

Step 3: Again with B as centre and radius BC = 4 cm draw an arc on ray BX. Mark the intersection point as C

Step 4: With C as centre, draw a ray CY such that ∠BCY = 105°

Step 5: Again with C as centre and radius, CD = 3.2 cm draw an arc on ray CY. Mark the intersection point as D.

Step 6: Join AD.

ABCD is the required trapezium.