71)

In ΔPQR, ∠PQR = 135°, PQ = 8√2 cm and PR = 17 cm. What is the length (in cm) of QR?

SSC CHSL 2021

A)

7

B)

10

C)

8

D)

9

72)

In a right angled triangle ABC, if ∠ABC = 90°, AB = 6 cm, BC = 8 cm, and BD is perpendicular to AC, then AD ∶ DC is:

SSC CHSL 2021

A)

9 ∶ 16

B)

8 ∶ 15

C)

7 ∶ 16

D)

9 ∶ 14

73)

In a triangle ABC, ∠BAC = 90° and AD is perpendicular to BC. If AD = 8.4 cm and BD = 4.8 cm, then the length of BC is

SSC CHSL 2021

A)

18.5 cm

B)

15 cm

C)

18 cm

D)

19.5 cm

74)

In an isosceles triangle ABC, AB = AC and AD is perpendicular to BC. If AD = 12 cm and the perimeter of ΔABC is 36 cm, then the length of BC (in cm) is

SSC CHSL 2021

A)

13

B)

10

C)

12

D)

5

75)

In ΔXYZ, P is the midpoint of side XZ and Q is a point on side XY such that QZ bisects PY. If XQ = 24 cm, then what is the length (in cm) of QY?

SSC CHSL 2021

A)

6

B)

18

C)

12

D)

8

76)

In ΔABC, ∠A = 66°. If 'I' is the incentre of the triangle, then the measure of ∠BIC will be:

SSC CHSL 2021

A)

109°

B)

123°

C)

112°

D)

119°

77)

In a triangle ABC, if BD and CD bisect ∠B and ∠C, respectively, and ∠A = 100°, then find ∠BDC.

SSC CHSL 2021

A)

110°

B)

100°

C)

140°

D)

130°

78)

D, E and F are the feet of the perpendiculars from the vertices A, B and C, respectively, of a triangle ABC. If angle BED and angle BFE (in degrees) are 24 and 110, respectively, what is the measure (in degrees) of angle EBF?

SSC CHSL 2021

A)

55

B)

46

C)

86

D)

67

79)

In ΔPQR, points T and S are on PQ and PR, respectively, such that TS is parallel to QR. If TQ = 7.2 cm, PS = 1.8 cm and SR = 5.4 cm, then find the length of PT.

SSC CHSL 2021

A)

1.35 cm

B)

2 cm

C)

3.6 cm

D)

2.4 cm

80)

What is the area (in cm², correct to one decimal place) of a triangle whose base is 21.4 cm and height is 15.5 cm?

SSC CHSL 2021

A)

156.9

B)

156.6

C)

165.9

D)

165.6