Basic Geometric Concepts - Problems on Triangles - Applications

Download Q&A

Basic Geometric Concepts - Problems on Triangles - Applications MCQ & Objective Questions

Understanding "Basic Geometric Concepts - Problems on Triangles - Applications" is crucial for students preparing for school and competitive exams. Mastering these concepts not only enhances your geometry skills but also boosts your confidence in tackling objective questions. Practicing MCQs and important questions helps solidify your understanding and improves your chances of scoring better in exams.

What You Will Practise Here

  • Types of triangles: Equilateral, Isosceles, and Scalene
  • Properties of triangles: Angles, sides, and area calculations
  • The Pythagorean theorem and its applications in right triangles
  • Triangle inequality theorem and its significance
  • Congruence and similarity of triangles
  • Basic trigonometric ratios related to triangles
  • Real-life applications of triangles in various fields

Exam Relevance

This topic is frequently featured in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that test their understanding of triangle properties, theorems, and real-world applications. Common question patterns include solving for unknown sides or angles, proving triangle congruence, and applying the Pythagorean theorem in problem-solving scenarios.

Common Mistakes Students Make

  • Confusing the properties of different types of triangles
  • Misapplying the Pythagorean theorem in non-right triangles
  • Overlooking the triangle inequality theorem when solving problems
  • Struggling with the concept of triangle similarity and congruence

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 can I apply the Pythagorean theorem in real-life situations?
Answer: The Pythagorean theorem can be used to determine distances, such as finding the height of a ladder against a wall.

Start your journey towards mastering "Basic Geometric Concepts - Problems on Triangles - Applications" by solving practice MCQs today! Test your understanding and prepare effectively for your upcoming exams.

Q. If the lengths of two sides of a triangle are 8 cm and 6 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. 4 cm to 14 cm
  • D. 4 cm to 10 cm
Q. In a right triangle, if one leg is 6 cm and the other leg is 8 cm, what is the length of the hypotenuse?
  • A. 10 cm
  • B. 12 cm
  • C. 14 cm
  • D. 16 cm
Q. In an equilateral triangle, if one side measures 12 cm, what is the area of the triangle?
  • A. 36√3 cm²
  • B. 24 cm²
  • C. 48 cm²
  • D. 144 cm²
Q. In an isosceles triangle, if the equal sides are each 10 cm and the base is 12 cm, what is the height of the triangle?
  • A. 8 cm
  • B. 6 cm
  • C. 5 cm
  • D. 4 cm
Q. What is the length of the altitude from the vertex of a triangle to the base if the area is 40 cm² and the base is 10 cm?
  • A. 4 cm
  • B. 6 cm
  • C. 8 cm
  • D. 10 cm
Q. What is the length of the altitude from the vertex of a triangle with a base of 10 cm and an area of 40 cm²?
  • A. 4 cm
  • B. 6 cm
  • C. 8 cm
  • D. 10 cm
Q. What is the length of the altitude from the vertex of a triangle with a base of 10 cm and an area of 30 cm²?
  • A. 3 cm
  • B. 5 cm
  • C. 6 cm
  • D. 8 cm
Q. What is the length of the median from vertex A to side BC in triangle ABC with sides AB = 6 cm, AC = 8 cm, and BC = 10 cm?
  • A. 5 cm
  • B. 6 cm
  • C. 7 cm
  • D. 8 cm
Q. What is the perimeter of a triangle with sides measuring 7 cm, 10 cm, and 5 cm?
  • A. 20 cm
  • B. 22 cm
  • C. 24 cm
  • D. 26 cm
Q. What is the perimeter of a triangle with sides measuring 7 cm, 5 cm, and 3 cm?
  • A. 10 cm
  • B. 12 cm
  • C. 15 cm
  • D. 20 cm
Showing 1 to 10 of 10 (1 Pages)
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely