NCERT Class 7 Mathematics Solutions: Chapter 10 –Practical Geometry Exercise 10.3 Part 1

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1. Construct such that cm and .

Answer:

To construct: where cm and

Steps of construction:

(a) Draw a line segment

A Line Segment DF=3 Cm

A line segment DF=3 cm

(b) At point , draw an angle of with the help of compass i.e.

Point D Made Angle 90 Degree

Point D made angle 90 degree

(c) Taking as centre, draw an arc of radius , which cuts at the point .

D as Centre, Arc of Radius 5 Cm, Which Cuts DX at the Point E

D as centre, arc of radius 5 cm, which cuts DX at the point E

(d) Join

Join EF in Given Figure

Join EF in given figure

It is the required right angled triangle .

2. Construct an isosceles triangle in which the lengths of each of its equal sides is and the angle between them is .

Answer:

To construct: An isosceles triangle where

Steps of construction:

(a) Draw a line segment

A Line Segment QR=6.5 Cm

A line segment QR=6.5 cm

(b) At point , draw an angle of with the help of compass i.e.

Point Q Made Angle 110 Degree

Point Q made angle 110 degree

(c) Taking as centre, draw an arc of radius , which cuts at the point .

Q as Centre, Arc of Radius 6.5 Cm, Which Cuts QY at the Point P

as centre, arc of radius 6.5 cm, which cuts QY at the point P

(d) Join

Join PR

Join PR in given figure

It is the required isosceles triangle .