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

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)   (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
from one end of the side, and
from the other end.
We can locate that point by drawing
an arc with radius centered at one end of a side/segment, and
an arc with radius centered at the other end of the same 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(52784)   (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".

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