, Avg: 01:00 , 60%✓ SSC CPO 20201)In ΔABC, BD ⊥ AC at D, E is a point on BC such that ∠BEA = x°. If ∠EAC = 46° and ∠EBD = 60°, then the value of x is:
76°
, Avg: 00:11 , 100%✓ SSC CPO 20202)LetΔABC ~ΔRPQ and \(\frac {ar (\Delta ABC)}{ar(\Delta RPQ)} = \frac 4 9 \). If AB = 3 cm, BC = 4 cm and AC = 5 cm, then PQ (in cm) is equal to:
6
, Avg: 01:14 , 100%✓ SSC CPO 20203)In ΔABC,∠A = 66°. AB and AC are produced to points D and E, respectively. If the bisectors of angle CBD and angle BCE meet at the point O, then∠BOC is equal to:
57°
, Avg: 00:39 , 100%✓ SSC CPO 20204)In ΔABC, AB and AC are produced to points D and E, respectively. If the bisectors of ∠CBD and ∠BCE meet at the point O, and ∠BOC = 57°, then ∠A is equal to:
66°
, Avg: 01:36 , 100%✓ SSC CPO 20205)Let Δ ABC ∼ Δ RPQ and \(\frac{{ar(\Delta ABC)}}{{ar(\Delta RPQ)}} = \frac{4}{9}\) . If AB = 3 cm, BC = 4 cm and AC = 5 cm, then RP (in cm) is equal to:
4.5 cm
, Avg: 01:21 , 100%✓ SSC CPO 20206)The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm2) of the triangle?
120
, Avg: 00:41 , 25%✓ SSC CPO 20207)In ΔABC, D is the median from A to BC. AB = 6 cm, AC = 8 cm, and BC = 10 cm. The length of median AD (in cm) is:
5
, Avg: 01:08 , 66%✓ SSC CPO 20208)In ΔABC, ∠A = 68°. If I is the incentre of the triangle, then the measure of ∠BIC is:
124°
SSC CPO 20209)In ΔABC, BD ⊥ AC at D, E is a point on BC such that ∠BEA = x°. If ∠EAC = 62° and ∠ EBD = 60°, then the value of x is:
92°
SSC CPO 202010)A circle is inscribed in a triangle ABC. It touches side AB, BC, and AC at points R, P, and Q respectively. If AQ = 2.6 cm, PC = 2.7 cm and BR = 3 cm, then the perimeter (in cm) of the triangle ABC is:
16.6