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Triangles

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Q. In triangle JKL, if JK = 5 cm, KL = 12 cm, and JL = 13 cm, what is the type of triangle? (2023)
  • A. Equilateral
  • B. Isosceles
  • C. Scalene
  • D. Right-angled
Q. In triangle MNO, if MN = 8 cm, NO = 15 cm, and MO = 17 cm, what is the type of triangle? (2023)
  • A. Equilateral
  • B. Isosceles
  • C. Scalene
  • D. Right-angled
Q. In triangle PQR, if PQ = 10 cm, PR = 24 cm, and QR = 26 cm, what is the area of the triangle? (2019)
  • A. 120 cm²
  • B. 240 cm²
  • C. 60 cm²
  • D. 80 cm²
Q. In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the perimeter of the triangle? (2022)
  • A. 24 cm
  • B. 26 cm
  • C. 22 cm
  • D. 20 cm
Q. In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the semi-perimeter of the triangle? (2022)
  • A. 12 cm
  • B. 14 cm
  • C. 16 cm
  • D. 18 cm
Q. In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the semi-perimeter? (2022)
  • A. 12 cm
  • B. 14 cm
  • C. 16 cm
  • D. 18 cm
Q. In triangle XYZ, if angle X = 45 degrees and angle Y = 45 degrees, what is the length of side XY if side XZ = 10 cm? (2020)
  • A. 5√2 cm
  • B. 10 cm
  • C. 10√2 cm
  • D. 20 cm
Q. In triangle XYZ, if angle X = 45 degrees and angle Y = 45 degrees, what is the ratio of the sides opposite to these angles? (2021)
  • A. 1:1
  • B. 1:√2
  • C. √2:1
  • D. 2:1
Q. In triangle XYZ, if angle X = 45 degrees and angle Y = 45 degrees, what is the ratio of the lengths of sides opposite to these angles? (2021)
  • A. 1:1
  • B. 1:√2
  • C. √2:1
  • D. 2:1
Q. In triangle XYZ, if XY = 12 cm, YZ = 16 cm, and XZ = 20 cm, what is the semi-perimeter? (2020)
  • A. 24 cm
  • B. 28 cm
  • C. 30 cm
  • D. 32 cm
Q. In triangle XYZ, if XY = 8 cm, YZ = 15 cm, and XZ = 17 cm, what is the length of the longest side? (2020)
  • A. 8 cm
  • B. 15 cm
  • C. 17 cm
  • D. Not determinable
Q. The lengths of the sides of triangle ABC are 5 cm, 12 cm, and 13 cm. What is the area of the triangle? (2019)
  • A. 30 cm²
  • B. 60 cm²
  • C. 24 cm²
  • D. 40 cm²
Q. The lengths of the sides of triangle ABC are 7 cm, 24 cm, and 25 cm. Is this triangle a right triangle? (2020)
  • A. Yes
  • B. No
  • C. Cannot be determined
  • D. Only if angle A is 90 degrees
Q. The lengths of the sides of triangle GHI are 5 cm, 12 cm, and 13 cm. What is the area of the triangle? (2019)
  • A. 30 cm²
  • B. 60 cm²
  • C. 65 cm²
  • D. 78 cm²
Q. The perimeter of an equilateral triangle is 36 cm. What is the length of each side? (2021)
  • A. 9 cm
  • B. 12 cm
  • C. 10 cm
  • D. 8 cm
Q. What is the area of an equilateral triangle with a side length of 6 cm? (2022)
  • A. 9√3 cm²
  • B. 12√3 cm²
  • C. 18√3 cm²
  • D. 24√3 cm²
Q. What is the length of the altitude from vertex A to side BC in triangle ABC, where AB = 5 cm, AC = 12 cm, and BC = 13 cm? (2023)
  • A. 5 cm
  • B. 6 cm
  • C. 7 cm
  • D. 8 cm
Q. What is the length of the altitude from vertex A to side BC in triangle ABC, where AB = 10 cm, AC = 6 cm, and angle A = 90 degrees? (2023)
  • A. 6 cm
  • B. 8 cm
  • C. 10 cm
  • D. 12 cm
Q. What is the length of the median from vertex A to side BC in triangle ABC, where AB = 10 cm, AC = 6 cm, and BC = 8 cm? (2023)
  • A. 5 cm
  • B. 6 cm
  • C. 7 cm
  • D. 8 cm
Q. What is the perimeter of an equilateral triangle with each side measuring 8 cm? (2021)
  • A. 16 cm
  • B. 24 cm
  • C. 32 cm
  • D. 20 cm
Q. What is the relationship between the angles of an equilateral triangle? (2023)
  • A. All angles are 60 degrees
  • B. All angles are 90 degrees
  • C. Two angles are equal
  • D. No angles are equal
Q. What is the sum of the interior angles of a triangle? (2019)
  • A. 90 degrees
  • B. 180 degrees
  • C. 270 degrees
  • D. 360 degrees
Showing 31 to 52 of 52 (2 Pages)

Triangles MCQ & Objective Questions

Triangles are a fundamental shape in geometry, playing a crucial role in various mathematical concepts. Understanding triangles is essential for students preparing for school exams and competitive tests. By practicing MCQs and objective questions on triangles, students can enhance their problem-solving skills and boost their confidence, leading to better scores in exams.

What You Will Practise Here

  • Types of triangles: Equilateral, Isosceles, and Scalene
  • Properties of triangles and their angles
  • Triangle inequality theorem
  • Area and perimeter formulas for triangles
  • Congruence and similarity in triangles
  • Applications of Pythagorean theorem in right triangles
  • Common triangle theorems and their proofs

Exam Relevance

Triangles are a significant topic in various examinations, including CBSE, State Boards, NEET, and JEE. Questions related to triangles often appear in the form of MCQs, where students are required to apply their knowledge of properties, theorems, and formulas. Common question patterns include identifying types of triangles, calculating areas, and solving problems using the Pythagorean theorem.

Common Mistakes Students Make

  • Confusing the properties of different types of triangles
  • Misapplying the triangle inequality theorem
  • Forgetting to apply the correct formulas for area and perimeter
  • Overlooking the significance of congruence and similarity
  • Neglecting to check for right angles when using the Pythagorean theorem

FAQs

Question: What are the different types of triangles based on their sides?
Answer: The different types of triangles based on their sides are equilateral, isosceles, and scalene triangles.

Question: How do I calculate the area of a triangle?
Answer: The area of a triangle can be calculated using the formula: Area = 1/2 × base × height.

Question: Why is the Pythagorean theorem important in triangles?
Answer: The Pythagorean theorem is crucial for solving problems related to right triangles, helping to find the lengths of sides when two sides are known.

Now is the time to enhance your understanding of triangles! Dive into our practice MCQs and test your knowledge to excel in your exams. Remember, consistent practice is the key to success!

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