Construct a parallelogram ABCD in which BC=5cm, ∠ BC D = 120 ° and CD=4.8cm.

Question

Philoid · Accepted Answer

The given parallelogram ABCD can be drawn as follows:

Step 1: Draw a line segment BC = 5 cm.

Step 2: At C, draw ∠BCX = 120°.

Step 3: Cut CD = 4.8 cm on ray CX

Step 4: Draw an arc from B at a radius of 4.8 cm.

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

Step 6: Now, join AB and AD.

Step 7: ABCD is the required parallelogram.

Construct a parallelogram ABCD in which BC=5cm, ∠BCD = 120° and CD=4.8cm.