Question

construct a parallelogram whose sides 4.3 cm and 5.2 cm and one diagonal is 6.1 cm​

Answer 1

Answer:

the diagonals of a quadrilateral bisect each other, the

quadrilateral is a parallelogram.

1. Draw a line 5.2 cm long.

2. Open the compass to 1/2 the length

of the shorter diagonal (1/2 of 6cm is 3cm)

3. Placing the sharp point of the compass on the right end of the

line, and swing an arc (the one I have in green).

4. Open the compass to 1/2 the length

of the longer diagonal (1/2 of 6.4cm is 3.2cm)

5. Placing the sharp point of the compass on the left end of the

line, and swing an arc (the one I have in red).

6. Draw a line 6cm long from the right end of the line through

the point where the arcs cross.

6. Draw a line 6.4cm long from the left end of the line through

the point where the arcs cross.

7. Draw in the other three sides of the parallelogram.

Answer 2

Answer:

If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram. 1. Draw a line 5.2 cm long. 2. Open the compass to 1/2 the length of the shorter diagonal (1/2 of 6cm is 3cm) 3. Placing the sharp point of the compass on the right end of the line, and swing an arc (the one I have in green). 4. Open the compass to 1/2 the length of the longer diagonal (1/2 of 6.4cm is 3.2cm) 5. Placing the sharp point of the compass on the left end of the line, and swing an arc (the one I have in red).

. Draw a line 6cm long from the right end of the line through the point where the arcs cross. 6. Draw a line 6.4cm long from the left end of the line through the point where the arcs cross.  7. Draw in the other three sides of the parallelogram.