Practice Worked Examples - 4 | 3. Theorems in Geometry & Trigonometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

A fence post is 6 m tall and casts a shadow of 8 m. Find the angle of elevation.

💡 Hint: Remember the tangent function relates opposite and adjacent sides.

Question 2

Easy

In a triangle with a right angle, if one side is 9 cm and the other is 12 cm, what is the hypotenuse?

💡 Hint: Don't forget to square each side!

Practice 3 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

In a right triangle, if one side is 12 and the other is 16, what is the length of the hypotenuse?

  • 24
  • 20
  • 28

💡 Hint: Calculate using a² + b² = c².

Question 2

True or False: The sum of the angles in a triangle equals 180°.

  • True
  • False

💡 Hint: Recall the Triangle Sum Theorem.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A park has a triangular flower bed where the lengths of the sides are 9 m, 12 m, and 15 m. Determine if it's a right triangle using Pythagorean Theorem.

💡 Hint: Revisit the Pythagorean relationship to confirm.

Question 2

A pole is 2 m shorter than a wall. If the pole casts a shadow of 4 m and the wall is 10 m tall, find the angle of elevation from the shadow's end.

💡 Hint: Don’t forget to visualize your triangle!

Challenge and get performance evaluation