NCERT Class 7 Mathematics Solutions: Chapter 10 –Practical Geometry Exercise 10.2 Part 1

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1. Construct in which , .

Answer:

To construct:

, where .

Steps of construction:

(a) Draw a line segment

A Line Segment YZ=5 Cm

A line segment YZ=5 cm

(b) Taking as centre and radius , draw an arc.

Z as Centre and Radius 6 Cm

Z as centre and radius 6 cm

(c) Similarly, taking as centre and radius , draw another arc which intersects first arc at point .

Y as Centre and Radius 4.5 Cm Arc

Y as centre and adius 4.5 cm arc which intersects first arc at point X

(d) Join and

Join XY and XZ

Join XY and XZ

It is the required .

2. Construct an equilateral triangle of side

Answer:

To construct: where

Steps of construction:

(a) Draw a line segment .

A Line Segment BC=5.5 Cm

A line segment BC=5.5 cm

(b) Taking points as centres and radius , draw arcs which intersect at point .

Points B and C as Centres and Radius 5.5 Cm Arc

Points B and C as centres and radius 5.5 cm arc which is intersect at point A

(c) Join

Join AB and AC

Join AB and AC

It is required triangle.