FRANK Solutions for Class 9 Maths Chapter 14 - Constructions of Triangles

Chapter 14 - Constructions of Triangles Exercise Ex. 14.1

Question 1

Construct a right-angled triangle in which:

Side AB = 4.5 cm and hypotenuse AC = 7 cm

Solution 1

 

Question 2

Construct a right-angled triangle in which

Side DE = 6 cm andE = 30°,D = 90°

Solution 2

Question 3

Construct a right-angled triangle in which:

QP = QR and hypotenuse PR = 7 cm

Solution 3

Question 4

Construct an isosceles triangle in which:

AB = AC, BC = 6 cm andB = 75°

Solution 4

 

Question 5

Construct an isosceles triangle in which:

XY = XZ, YZ = 5.5 cm andX = 60°

Solution 5

 

Question 6

Construct an isosceles triangle in which:

PQ = QR, PR = 4.5 cm andR = 60°

Solution 6

Question 7

Construct an isosceles triangle in which:

Base BC = 6.4 cm and side AB = 7.2 cm

Solution 7

 

Question 8

Construct an isosceles triangle in which:

Base QR = 5.2 cm and the altitude PM = 4.8 cm

Solution 8

 

Question 9

Construct an isosceles triangle in which:

Base DE = 6 cm andF = 45°

Solution 9

 

Question 10

Construct an isosceles right-angled triangle whose hypotenuse is of length 6 cm.

Solution 10

 

Question 11

Construct a triangle PQR with PQ = 5.4 cm, QR = 4.6 cm andQ = 60°. Draw the perpendicular PS at QR, measure the lengths of SP and SQ,

Solution 11

 

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23