construct a rhombus whose diagonals are 6.2 cm and 5.3 cm long
Answers
Answer:
To construct a quadrilateral it is necessary to know at least 5 of its parts.
Measurement of 5 parts of a quadrilateral are sufficient to construct it in the following cases:
1. Four sides and one Diagonal.
2. Three sides and both diagonals.
3. Two adjacent sides and 3 angles.
4. Three sides and two included angles.
5. Four sides and one angle.
It is always convenient and helpful to draw a rough sketch of the quadrilateral and indicate the given measurements.
[ Figure is in the attachment]
Steps of construction:
(a) Draw a line segment AC = 5.2 cm and draw perpendicular bisectors of AC.
(b) Since, diagonals of rhombus bisect each other at mid-point O, therefore OB=OD = 6.4/2 i.e., 3.2 cm.
(c) Draw two arcs on both sides of AC of radius 3.2 cm from intersection point O, whichintersects at B and D.
(d) Join AB, BC, CD and DA.
It is required rhombus ABCD.
First make a line segment of 5.3 cm
second mark an arc of 6.2 cm