## 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 and E = 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 and B = 75°
Solution 4  Question 5
Construct an isosceles triangle in which:
XY = XZ, YZ = 5.5 cm and X = 60°
Solution 5  Question 6
Construct an isosceles triangle in which:
PQ = QR, PR = 4.5 cm and R = 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 and F = 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 and Q = 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 