### Practical Geometry - Solutions 2

CBSE Class –VII Mathematics

NCERT Solutions

Chapter 10 Practical Geometry (Ex. 10.2)

NCERT Solutions

Chapter 10 Practical Geometry (Ex. 10.2)

Question 1. Construct XYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Answer: To construct: XYZ, where XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm.

Steps of construction:

Steps of construction:

(a) Draw a line segment YZ = 5 cm.

(b) Taking Z as centre and radius 6 cm, draw an arc.

(c) Similarly, taking Y as centre and radius 4.5 cm, draw another arc which intersects first arc at point X.

(d) Join XY and XZ.

It is the required XYZ.

Question 2. Construct an equilateral triangle of side 5.5 cm.

Answer: To construct: A ABC where AB = BC = CA = 5.5 cm

Steps of construction:

Steps of construction:

(a) Draw a line segment BC = 5.5 cm

(b) Taking points B and C as centers and radius 5.5 cm, draw arcs which intersect at point A.

(c) Join AB and AC.

It is the required ABC.

Question 3. Draw PQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangle is this?

Answer: To construction: PQR, in which PQ = 4 cm, QR = 3.5 cm and PR = 4 cm.

Steps of construction:

Steps of construction:

(a) Draw a line segment QR = 3.5 cm.

(b) Taking Q as centre and radius 4 cm, draw an arc.

(c) Similarly, taking R as centre and radius 4 cm, draw an another arc which intersects first arc at P.

(d) Join PQ and PR.

It is the required isosceles PQR.

Question 4. Construct ABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure B.

Answer: To construct :ABC in which AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm.

Steps of construction:

Steps of construction:

(a) Draw a line segment BC = 6 cm.

(b) Taking B as centre and radius 2.5 cm, draw an arc.

(c) Similarly, taking C as centre and radius 6.5 cm, draw another arc which intersects first arc at point A.

(d) Join AB and AC.

(e) Measure angle B with the help of protractor.

It is the required ABC where B =