SOLUTION: construct a parallelogram when one of its sides is 4.4 cm and its two diagonals are 5.6 cm and 7cm. Measure the other side

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Question 1067719: construct a parallelogram when one of its sides is 4.4 cm and its two diagonals are 5.6 cm and 7cm. Measure the other side
Found 2 solutions by KMST, ikleyn:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
A parallelogram's diagonals bisect each other,
so they intersect at a point that is
5.6cm%2F2=2.8cm from one end of the 4.4cm side, and
7cm%2F2=3.5cm from the other end.
We can locate that point by drawing
an arc with radius2.8cm centered at one end of a 4.4cm side/segment, and
an arc with radius3.5cm centered at the other end of the same 4.4cm side/segment

Connecting that point to the ends of the segment
shows us half of each diagonal.
If we extend the half-diagonal segments by the same length,
we have the diagonals,
and the free ends of those diagonals
are the other two vertices of the parallelogram

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
On basic construction procedures of geometry see the lessons
    - HOW TO bisect a segment using a compass and a ruler
    - HOW TO bisect an angle using a compass and a ruler
    - HOW TO construct a triangle using a compass and a ruler

    - HOW TO construct a trapezoid given by the lengths of its sides
in this site.


Also, you have this free of charge online textbook on Geometry
    - GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lessons are the part of this textbook under the topic
"Geometric constructions using a compass and a ruler. Basic operations".


Two other closely related topics of the textbook are
"Geometric constructions related to parallel lines" and
"Geometric constructions related to circles".