Practice MCQ Questions and Answer on Triangles

41.

The centroid of a triangle is G. If area of ΔABC = 72 sq. unit, then the area of ΔBGC is?

  • (A) 16 sq. units
  • (B) 24 sq. units
  • (C) 36 sq. units
  • (D) 48 sq. units

42.

In an isosceles triangle ΔABC, AB = AC and âˆÂ A = 80°. The bisector of âˆÂ B and âˆÂ C meet at D. The âˆÂ BDC is equal to.

  • (A) 90°
  • (B) 100°
  • (C) 130°
  • (D) 80°

43.

If the length of the three sides of a triangle are 6 cm, 8 cm and 10 cm, then the length of the median to its greatest side is -

  • (A) 8 cm
  • (B) 6 cm
  • (C) 5 cm
  • (D) 4.8 cm

44.

If two medians BE and CF of a triangle ABC, intersect each other at G and if BG = CG, âˆÂ BGC = 60°, BC = 8 cm, then area of the triangle ABC is:

  • (A) $$96\sqrt 3 $$  cm2
  • (B) $$48\sqrt 3 $$  cm2
  • (C) 48 cm2
  • (D) $$54\sqrt 3 $$  cm2

45.

In a triangle ABC, incentre is O and âˆÂ BOC = 110°, then the measure of âˆÂ BAC is:

  • (A) 20°
  • (B) 40°
  • (C) 55°
  • (D) 110°

46.

If I be the incentre of ΔABC and âˆÂ B = 70° and âˆÂ C = 50°, then the magnitude of âˆÂ BIC is

  • (A) 130°
  • (B) 60°
  • (C) 120°
  • (D) 105°

47.

In a ΔPQR, âˆÂ Q = 55° and âˆÂ R = 35°. Find the ratio of angles subtended by side QR on circumcenter, incenter and orthocenter of the triangle.

  • (A) 3 : 2 : 1
  • (B) 3 : 2 : 4
  • (C) 3 : 2 : 4
  • (D) 4 : 3 : 2

48.

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is:

  • (A) $$2\sqrt 2 $$  cm
  • (B) $$3\sqrt 2 $$  cm
  • (C) $$2\sqrt 3 $$  cm
  • (D) $$3\sqrt 3 $$  cm

49.

Which of the following is a true statement

  • (A) Two similar triangles are always congruent
  • (B) Two similar triangles have equal areas
  • (C) Two triangles are similar if their corresponding sides are proportional
  • (D) Two polygons are similar if their corresponding sides are proportional

50.

In ΔABC, âˆÂ A + âˆÂ B = 65°, âˆÂ B + âˆÂ C = 140°, then find âˆÂ B.

  • (A) 40°
  • (B) 25°
  • (C) 35°
  • (D) 20°

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