Practice Practice Exercises (5) - Theorems in Geometry & Trigonometry - IB 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Exercises

Practice - Practice Exercises

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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!

Challenge 2 Hard

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.

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