SSC CHSL 202161)In ∆ ABC, ∠B = 90

^{0}, AB = 8 cm and BC = 15 cm, D is a point on BC such that AD bisects ∠A. The length (in cm) of BD is:

Correct Option: D

4.8

SSC CHSL 202162)How many isosceles triangles with integer sides are possible such that the sum of two of the sides is 16 cm?

Correct Option: B

24

SSC CHSL 202163)The side BC of a triangle ABC is extended to a point D. If ∠ACD = 117° and ∠ABC = \frac{5}{8} ∠BAC. then what is the measure of ∠ABC ?

Correct Option: D

45°

SSC CHSL 202164)The sides AB and AC of a ∆ABC are produced up to points D and E. The bisectors of the exterior angles to formed. intersect each other at point I if ∠ACB is 66

^{0 }and ∠ABC is 44, then what is the measure (in degrees) of ∠BIC?

Correct Option: C

55

SSC CHSL 202165)The side BC of \(\triangle ABC\) is produced to D. The bisectors of ∠ ABC and ∠ ACD meet at E. If AB = AC and ∠ BEC = 35°, then the measures of ∠ABC will be:

Correct Option: C

55°

SSC CHSL 202166)In \( \triangle ABC\), ∠B = 90° . AD and CE are the medians drawn from A and C, respectively. If AC = 10 cm and AD =√ 55 cm, then the length of CE is:

Correct Option: A

√ 70 cm

SSC CHSL 202167)ΔABC is right-angled at B and D is a point on AC such that BD is perpendicular to AC. If BD = 6 cm and AD = 3 cm, then what will be the length of AC?

Correct Option: C

15 cm

SSC CHSL 202168)In Δ ABC, DE || BC, where D and E are points on the sides AB and AC, respectively. If AD = 2 cm, BD = 5.2 cm, AC = 9 cm and AE = x cm, then what is the value of x?

Correct Option: A

2.5

SSC CHSL 202169)ΔPQR is inscribed in a circle. The bisector of ∠P cuts QR at S and the circle at T .If PR = 5 cm, PS = 6 cm and ST = 4 cm, then the length (in cm ) of PQ is:

Correct Option: C

12

SSC CHSL 202170)In ΔABC, D and E are points on sides AB and BC, respectively, such that BD ∶ DA = 1 ∶ 2 and CE ∶ EB = 1 ∶ 4, If DC and AE intersect at F, then FD ∶ FC is equal to:

Correct Option: D

8 ∶ 3

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