Practice MCQ Questions and Answer on Triangles

11.

In ΔABC, DE || AC, D and E are two points on AB and CB respectively. If AB = 10 cm and AD = 4 cm, then BE : CE is

• (A) 2 : 3
• (B) 2 : 5
• (C) 5 : 2
• (D) 3 : 2

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12.

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

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13.

If the incentre of an equilateral triangle lies inside the triangle and its radius in 3 cm, then the side of the equilateral triangle is

• (A) 9$$\sqrt 3 $$ cm
• (B) 6$$\sqrt 3 $$ cm
• (C) 3$$\sqrt 3 $$ cm
• (D) 6 cm

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14.

The orthocenter of a triangle is the point where?

• (A) The medians meet
• (B) The altitudes meet
• (C) The right bisectors of the sides of
• (D) The bisectors of the angles

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15.

In ΔABC, two points D and E are taken on the lines AB and BC respectively in such a way that AC is parallel to DE. Then ΔABC and ΔDBE are :

• (A) Similar only if D lies outside the line segment AB
• (B) Congruent only If D lies out side the line segment AB
• (C) Always similar
• (D) Always congruent

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16.

In a triangle ABC, AB + BC = 12 cm, BC + CA = 14 cm and CA + AB = 18 cm. Find the radius of the circle (in cm) which has the same perimeter as the triangle

• (A) $$\frac{5}{2}$$
• (B) $$\frac{7}{2}$$
• (C) $$\frac{9}{2}$$
• (D) $$\frac{{11}}{2}$$

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17.

ABC is a right-angled triangle with AB = 6 cm and BC = 8 cm. A circle with center O has been inscribed inside ΔABC. The radius of the circle is

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

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18.

In ΔABC, if AD âŠÂ¥ BC, then AB + CD is equal to22

• (A) 2BD2
• (B) BD2 + AC2
• (C) 2AC2
• (D) None of these

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19.

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

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20.

In a triangle ABC, if âˆÂ A + âˆÂ C = 140° and âˆÂ A + 3âˆÂ B = 180°, then âˆÂ A is equal to:

• (A) 80°
• (B) 40°
• (C) 60°
• (D) 20°

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