, Avg: 02:24 , 43%✓ SSC CGL 20221)In a ΔABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ∠BAC = 75º, what is the measure of ∠PQR (in degrees)?
30
, Avg: 00:58 , 33%✓ SSC CGL 20222)An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor arc BC and ∠CBD = 40º. Find the measure of ∠BCD.
20º
, Avg: 00:54 , 50%✓ SSC CGL 20223)The lengths of the three sides of a right-angled triangle are (x - 1) cm, (x + 1) cm and (x + 3) cm, respectively. The hypotenuse of the right-angled triangle (in cm) is:
10
, Avg: 00:26 , 100%✓ SSC CGL 20224)What is the height (in cm) of an equilateral triangle whose each side is 8 cm?
4√3
, Avg: 01:30 , 71%✓ SSC CGL 20225)In ΔACD, B and E are two points on side AC and AD respectively, such that BE is parallel to CD. CD = 9 cm, BE = 6 cm, AB = 5 cm and ED = 2 cm. What are the measures of the lengths (in cm) of AE and BC?
4, 2.5
, Avg: 00:49 , 100%✓ SSC CGL 20226)In Δ LMN, the bisector of ∠L and ∠N intersect at and angle of 112°. What is the measure (in degree) of ∠M?
44
, Avg: 00:52 , 50%✓ SSC CGL 20227)The difference between the two perpendicular sides of a right-angled triangle is 17 cm and its area is 84 cm2. What is the perimeter (in cm) of the triangle?
56
, Avg: 00:46 , 77%✓ SSC CGL 20228)The bisector of ∠B in ΔABC meets AC at D. If AB = 12 cm, BC = 18 cm and AC = 15 cm, then the length of AD (in cm) is:
6
, Avg: 00:38 , 83%✓ SSC CGL 20229)In ∆ ABC, ∠A = 88°. If I is the incentre of the triangle, then the measure of ∠BIC is:
134°
, Avg: 01:13 , 85%✓ SSC CGL 202210)Sides AB and AC of ∆ ABC are produced to points D and E, respectively. The bisectors of ∠CBD and ∠BCE meet at P. If ∠A = 78°, then the measure of ∠P is:
51°