Basic Geometric Concepts - Problems on Triangles - Problem Set

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Basic Geometric Concepts - Problems on Triangles - Problem Set MCQ & Objective Questions

Understanding basic geometric concepts, particularly problems on triangles, is crucial for students preparing for school and competitive exams. Practicing MCQs and objective questions enhances your problem-solving skills and boosts your confidence. Engaging with practice questions helps you identify important concepts and improves your chances of scoring better in exams.

What You Will Practise Here

  • Types of triangles: scalene, isosceles, and equilateral
  • Properties of triangles, including angles and sides
  • Triangle inequality theorem and its applications
  • Area and perimeter calculations for different triangles
  • Congruence criteria: SSS, SAS, ASA, AAS, and RHS
  • Basic theorems related to triangles, such as Pythagorean theorem
  • Diagrams and visual representations to enhance understanding

Exam Relevance

Basic geometric concepts, especially problems on triangles, are frequently tested in CBSE, State Boards, NEET, and JEE examinations. Students can expect questions that assess their understanding of triangle properties, calculations of area and perimeter, and the application of congruence criteria. Common question patterns include multiple-choice questions that require both conceptual knowledge and practical application.

Common Mistakes Students Make

  • Confusing the properties of different types of triangles
  • Misapplying the triangle inequality theorem
  • Forgetting to check for congruence criteria in problem-solving
  • Errors in calculating area and perimeter due to incorrect formula usage

FAQs

Question: What are the key properties of an equilateral triangle?
Answer: An equilateral triangle has all three sides equal and all angles measuring 60 degrees.

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

Now is the time to strengthen 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!

Q. If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, what type of triangle is it?
  • A. Equilateral
  • B. Isosceles
  • C. Scalene
  • D. Right
Q. If the lengths of two sides of a triangle are 5 cm and 12 cm, what is the range of possible lengths for the third side?
  • A. 1 cm to 17 cm
  • B. 6 cm to 16 cm
  • C. 7 cm to 12 cm
  • D. 5 cm to 12 cm
Q. If the lengths of two sides of a triangle are 5 cm and 7 cm, what is the range of possible lengths for the third side?
  • A. 2 cm to 12 cm
  • B. 3 cm to 11 cm
  • C. 4 cm to 10 cm
  • D. 5 cm to 9 cm
Q. If the lengths of two sides of a triangle are 6 cm and 8 cm, what is the range of possible lengths for the third side?
  • A. 2 cm to 14 cm
  • B. 2 cm to 10 cm
  • C. 2 cm to 12 cm
  • D. 2 cm to 8 cm
Q. In a triangle, if one angle measures 60 degrees and the other measures 70 degrees, what is the measure of the third angle?
  • A. 50 degrees
  • B. 60 degrees
  • C. 70 degrees
  • D. 80 degrees
Q. What is the length of the altitude from the vertex of a triangle with a base of 8 cm and an area of 32 cm²?
  • A. 4 cm
  • B. 6 cm
  • C. 8 cm
  • D. 10 cm
Q. What is the perimeter of a triangle with sides measuring 8 cm, 15 cm, and 17 cm?
  • A. 30 cm
  • B. 40 cm
  • C. 50 cm
  • D. 20 cm
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