Advertisements
Advertisements
प्रश्न
Construct the following quadrilaterals.
Rhombus BEND
BN = 5.6 cm
DE = 6.5 cm
Advertisements
उत्तर
We know that the diagonals of a rhombus always bisect each other at 90º. Let us assume that these are intersecting each other at point O in this rhombus.
Hence, EO = OD = 3.25 cm
A rough sketch of this rhombus can be drawn as follows

1) Draw a line segment BN of 5.6 cm and also draw its perpendicular bisector. Let it intersect the line segment BN at point O.

2) Taking O as centre, draw arcs of 3.25 cm radius to intersect the perpendicular bisector at point D and E

3) Join points D and E to points B and N.

BEND is the required quadrilateral.
APPEARS IN
संबंधित प्रश्न
Construct the following quadrilaterals.
Quadrilateral LIFT
LI = 4 cm
IF = 3 cm
TL = 2.5 cm
LF = 4.5 cm
IT = 4 cm
Construct a quadrilateral ABCD such that AB = BC = 5.5 cm, CD = 4 cm, DA = 6.3 cm and AC = 9.4 cm. Measure BD.
Construct a quadrilateral XYZW in which XY = 5 cm, YZ = 6 cm, ZW = 7 cm, WX = 3 cm and XZ = 9 cm.
Construct a rhombus with side 6 cm and one diagonal 8 cm. Measure the other diagonal.
Construct a kite ABCD in which AB = 4 cm, BC = 4.9 cm and AC = 7.2 cm.
Construct a quadrilateral ABCD in which BC = 7.5 cm, AC = AD = 6 cm, CD = 5 cm and BD = 10 cm.
Construct a quadrilateral ABCD, when AB = 3 cm, CD = 3 cm, DA = 7.5 cm, AC = 8 cm and BD = 4 cm.
Construct a quadrilateral ABCD given AD = 5 cm, AB = 5.5 cm, BC = 2.5 cm, AC = 7.1 cm and BD = 8 cm.
A quadrilateral can be drawn if three sides and two diagonals are given.
Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?
