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NCERT Solutions Class 8 Mathematics Solutions for Exercise 4.5 in Chapter 4 - Practical Geometry

Question 2 Exercise 4.5

Draw the following

A rhombus whose diagonals are 5.2 cm and 6.4 cm long.

Answer:

In a rhombus, diagonals bisect each other at 90^{\circ}. ∴, the given rhombus ABCD can be drawn as follows.

Rough Figure:

NCERT Solutions - Mathematics , Class 8 chapter Practical Geometry Question 2 Solution image

(1) Draw a line segment AC of 5.2 cm and draw its perpendicular bisector. Let it intersect the line segment AC at point O.

NCERT Solutions - Mathematics , Class 8 chapter Practical Geometry Question 2 Solution image

(2) Draw arcs of 6.4/2 = 3.2 on both sides of this perpendicular bisector. Let the arcs intersect the perpendicular bisector at point B and D.

NCERT Solutions - Mathematics , Class 8 chapter Practical Geometry Question 2 Solution image

(3) Join points B and D with points A and C.

NCERT Solutions - Mathematics , Class 8 chapter Practical Geometry Question 2 Solution image

ABCD is the required rhombus.

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