Triangles Quiz

In the figure, AC is perpendicular to BC. What is the measure of ∠ABC?

1. 55o
2. 105o
3. 65o
4. 70o

Answer: (c) 65o

In the given figure, PQR is an equilateral triangle and QRST is a square. Then, what is the value of ∠PSR?

1. 46o
2. 35o
3. 60o
4. 15o

Answer: (d) 15o

In triangle ABC, ∠C = 90° and Q is the midpoint of BC. If AB = 10 cm and AC = 2√10 cm. Find the length of AQ.

1. √65 cm
2. √55 cm
3. √50 cm
4. √51 cm

Answer: (b) √55 cm

In triangle ABC, BD is the altitude of the triangle, if BD was increased by 50 per cent and AC was reduced by 50 per cent, how would the area of ∆ABC change?

1. The area of ∆ABC would be decreased by 25 percent.
2. The area of ∆ABC would be increased by 25 percent.
3. The area of ΔABC would not change.
4. The area of ∆ABC would be decreased by 50 percent.

Answer: (a) The area of ∆ABC would be decreased by 25 percent.

In the figure CD, AE and BF are one-third of their respective sides. It is given that AN₂ : N₂N₁ : ND = 3 : 3 : 1 and similarly for the lines BE and CF. How many times the area of triangle ABC equal the area of ΔN1N2N3?

1. 1/5 square units
2. 7 square units
3. 1/7 square units
4. 5 square units

Answer: (b) 7 square units

In ∆ABC, AD is the bisector of ∠A meeting BC at D. If AC = 21 cm, BC = 11 cm and the length of BD is 3 cm less than DC. Find the length of side AB .

1. 12 cm
2. 15 cm
3. 18 cm
4. 8 cm

Answer: (a) 12 cm

In the given figure, it is given that AB ⊥ BF and EF ⊥ BF, AC = BC and KD is perpendicular to BC and DE. Find the value of x.

1. 120o
2. 50o
3. 60o
4. 110o

Answer: (c) 60o

D, E and F are the feet of the perpendiculars from the vertices A, B and C respectively, of a triangle ABC. If angle BED and angle BFE( in degrees) are 24 and 110, respectively, what is the measure of angle EBF?

1. 16o
2. 45o
3. 19o
4. 46o

Answer: (d) 46o

In the figure, AB = AC, ∠ACM = 140o and ∠PAB = x . Find the value of x.

1. 80o
2. 100o
3. 90o
4. 105o

Answer: (a) 80o

In △ABC, ∠A=90°. If BL and CM are medians, then what is the value of 4BL2 + 4CM2?

1. 5AC2
2. 5BC2
3. BC2
4. CA2

Answer: (b) 5BC2