Practice Practice Exercises - 5 | 3. Theorems in Geometry & Trigonometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the height of a tree that casts a shadow of 10 m when the angle of elevation is 45°?

💡 Hint: Use tan(45°) = 1.

Question 2

Easy

In a right triangle, one leg is 4 cm and the other is 3 cm, what is the hypotenuse?

💡 Hint: Apply Pythagorean Theorem.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

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

Question 1

What does Pythagorean Theorem state?

  • a² + b² = c²
  • a + b + c = 180°
  • a² + b = c

💡 Hint: Think about right-angled triangles.

Question 2

True or False: The Basic Proportionality Theorem is valid only in right triangles.

  • True
  • False

💡 Hint: Consider other triangle properties.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A triangle has sides measuring 7 cm, 24 cm, and an unknown hypotenuse. Without completing the square, can you find the hypotenuse?

💡 Hint: Remember, look for right angle indicators!

Question 2

In triangle ABC, angle C is 90°, and AB is the hypotenuse measuring 26 cm. If one leg measures 10 cm, find the other leg.

💡 Hint: Keep in mind the relationship of sides in a right triangle.

Challenge and get performance evaluation