Free Triangles and Angles MCQs with Answers
18 Triangles and Angles MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Triangles and angles involve angle pairs, vertically opposite angles, parallel lines, triangle angle sums, exterior angles, congruence, similarity, and the Pythagorean theorem. Questions also test properties of isosceles and equilateral triangles, with similarity focusing on proportional sides while congruence requires identical size and shape.
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18 questions
- A. Geo means Earth
- B. Metron means Measurement.
- C. Hence Geomatery means
- D. Earth measurement
Explanation: The word geometry comes from the Greek words geo, meaning Earth, and metron, meaning measurement.
Correct answer: Earth measurement- A. (0,1)
- B. (1,1)
- C. (0,0)
- D. (1,0)
Explanation: The origin is the point where the x-axis and y-axis intersect, and both coordinates are zero. Therefore, its coordinates are (0,0).
Correct answer: (0,0)- A. 5 metres
- B. 8 metres
- C. 10 metres
- D. 12 metres
Explanation: Let the horizontal distance be d metres. From the bottom of the pole, tan 60° = 15 metres ÷ d, so d = 5√3 metres; the 30° angle from the…
Correct answer: 10 metres- A. 30°
- B. 45°
- C. 60°
- D. 90°
Explanation: For the right triangle, tan θ = height ÷ shadow length. Since the shadow is √3 times the height, tan θ = height ÷ (√3 x height) = 1/√3…
Correct answer: 30°- A. 149 m
- B. 156 m
- C. 173 m
- D. 200 m
Explanation: Using tan 30° = height/distance, the distance is 100 m ÷ tan 30° = 100 m ÷ 0.577 ≈ 173 m.
Correct answer: 173 m- A. 50°
- B. 60°
- C. 70°
- D. 80°
Explanation: For the right triangle, tan θ = opposite/adjacent = 2√3 m ÷ 2 m = √3, and tan 60° = √3, so θ = 60°.
Correct answer: 60°- A. 173 m
- B. 200 m
- C. 273 m
- D. 300 m
Explanation: The ships are on opposite sides, so their distances from the lighthouse foot are added: 100 m ÷ tan 30° ≈ 173 m and 100 m ÷ tan 45° = 100…
Correct answer: 273 m- A. 2.3 m
- B. 4.6 m
- C. 7.8 m
- D. 9.2 m
Explanation: The 4.6 m distance is adjacent to the 60° angle, so cos 60° = 4.6 m ÷ ladder length; therefore ladder length = 4.6 m ÷ 0.5 = 9.2 m.
Correct answer: 9.2 m- A. 24/5 cm
- B. 12/5 cm
- C. 7/5 cm
- D. None of these
Explanation: AB and AC are each 6 cm, so triangle ABC is isosceles with sides 6 cm, 6 cm and BC.
Correct answer: None of these10. What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
- A. 4:8
- B. 1:4
- C. 6:2
- D. 3:1
Explanation: All squares have the same fixed relationship between side and diagonal, so if one diagonal is three times the other, its side is also…
Correct answer: 3:1- A. 3/2 cm
- B. 1/2 cm
- C. 3/4 cm
- D. 3 cm
Explanation: The altitude of an equilateral triangle is (√3/2) x side. Substituting the side 2√3 cm gives altitude = (√3/2) x 2√3 cm = 3 cm.
Correct answer: 3 cm- A. 4/3 cm
- B. 3/4 cm
- C. 3 cm
- D. 4 cm
Explanation: The area of an equilateral triangle is (√3/4)s². Setting (√3/4)s² = 4√3 cm² gives s² = 16 cm², so s = 4 cm.
Correct answer: 4 cm- A. 20 sq m
- B. 10 sq m
- C. 5 sq m
- D. 3 sq m
Explanation: The triangle area formula is 1/2 x base x height. Substituting base 4 m and height 5 m gives 1/2 x 4 m x 5 m = 10 m².
Correct answer: 10 sq m- A. 0.525cm
- B. 4.2cm
- C. 80%
- D. 60%
Explanation: For similar triangles, areas are proportional to the squares of corresponding heights.
Correct answer: 4.2cm- A. 9cm
- B. 10cm
- C. 11cm
- D. 12cm
Explanation: The ratio sum is 1/2 + 1/3 + 1/4 = 13/12. One ratio unit is therefore 52 cm ÷ (13/12) = 48 cm, and the smallest side is 1/4 × 48 cm = 12…
Correct answer: 12cm- A. 25 cm2
- B. 42 cm2
- C. 49 cm2
- D. None of these
Explanation: For any triangle, area = inradius x semiperimeter. The semiperimeter is 28 cm ÷ 2 = 14 cm, so the area is 2.5 cm x 14 cm = 35 cm2, which…
Correct answer: None of these- A. 120 cm2
- B. 130 cm2
- C. 312 cm2
- D. 315 cm2
Explanation: The sides satisfy 10^2 + 24^2 = 26^2, so the triangle is right-angled with perpendicular sides 10 cm and 24 cm.
Correct answer: 120 cm2- A. 48√3 cm2
- B. 128√3 cm2
- C. 9.6√3 cm2
- D. 64√3 cm2
Explanation: The area of an equilateral triangle is (sqrt3/4) x side2. Thus area = (sqrt3/4) x (16 cm)2 = (sqrt3/4) x 256 cm2 = 64sqrt3 cm2.
Correct answer: 64√3 cm2Triangles and Angles MCQs: common questions
Are these Triangles and Angles MCQs free?
Yes. All Triangles and Angles MCQs from Mathematics are free on TestUstad, with unlimited attempts and no account needed. Nothing on this page is a sample or a trial.
How many Triangles and Angles MCQs are on this page?
There are 18 Triangles and Angles MCQs in the Mathematics bank, shown 20 to a page with the correct answer and an explanation on each.
Does every Triangles and Angles MCQ have an explanation?
Yes. Each Triangles and Angles question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
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