SSC CHSL 202181)If the angle between the internal bisectors of two angles ∠B and ∠C of a triangle ABC is 125°, then the value of ∠A is:

Correct Option: C

70°

SSC CHSL 202182)Points D, E and F are on the sides AB, BC and AC, respectively, of triangle ABC such that AE, BF and CD bisect ∠A, ∠B and ∠C, respectively. If AB = 6 cm, BC = 7 cm and AC = 8 cm, then what will be the length of BE?

Correct Option: D

3 cm

SSC CHSL 202183)The perimeter of a right-angled triangle whose sides that make right angles are 15 cm and 20 cm is:

Correct Option: C

60 cm

SSC CHSL 202184)In ΔABC, D and E are the points on the sides AB and AC, respectively such that ∠AED = ∠ABC. If AE = 6 cm, BD = 2 cm, DE = 3 cm and BC = 5 cm, then (AB + AC) is equal to:

Correct Option: B

\(\frac{70}{3}\) cm

SSC CHSL 202185)A circle is inscribed in a right-angled triangle. The lengths of the two sides containing the right angle are 15 cm and 8 cm. What is the radius of the in-circle?

Correct Option: B

3 cm

SSC CHSL 202186)If the perimeter of an isosceles right triangle is 15(√2 + 1) cm, then the area of the triangle will be:

Correct Option: D

56.25 cm^{2}

SSC CHSL 202187)The perimeter of an isosceles triangle is 220 cm. If the base is 40 cm, then the length of each of the other sides is:

Correct Option: D

90 cm

SSC CHSL 202188)The difference between the two perpendicular sides of a right-angles triangle is 17 cm and its area is 84cm

^{2}. What is the perimeter (in cm) of the triangle?

Correct Option: D

56

SSC CHSL 202189)Let O be the centre of a circle and AC be the diameter. BD is a chord intersecting AC at E. AD and AB are joined. If ∠BOC = 40° and ∠AOD = 120°, then ∠BEC is equal to

Correct Option: B

80°

SSC CHSL 202190)In a circle with center O, PA and PB are tangents to the circle at A and B, respectively, from an external point P. If, ∠AOB = 116° then what is the measure of ∠OPB?

Correct Option: A

32°

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