Construct a parallelogram ABCD in which side BC = 5.6cm and diagonals AC = 6.2cm and BD = 8cm.
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A parallelogram ABCD in which side BC = 5.6cm and diagonals AC = 6.2cm and BD = 8cm.
- A parallelogram is a four-sided shape with opposite sides parallel to each other. In this problem, we are given the length of one side (BC = 5.6 cm) and the lengths of the diagonals (AC = 6.2 cm and BD = 8 cm) and we need to construct a parallelogram ABCD.
- Here's one way to construct a parallelogram ABCD with the given information:
- Draw a line segment of length 5.6 cm, representing side BC.
- Draw a line segment of length 8 cm, representing diagonal BD, starting from one end of the segment representing BC.
- Using a compass, draw an arc with a radius of 6.2 cm, centered at the other end of the segment representing BC.
- Draw a line segment connecting the end of the segment representing BD to the point where the arc intersects the segment representing BC. This line segment represents diagonal AC.
- Draw lines connecting the endpoints of the segment representing BD and the segment representing AC. These lines represent sides AD and AB.
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