## 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