Practice Pythagoras’ Theorem - 1.1 | 3. Theorems in Geometry & Trigonometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Questions

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Question 1

Easy

A ladder makes a 90° angle with a wall. The base of the ladder is 6 m away from the wall, and it reaches a height of 8 m. Find the length of the ladder.

💡 Hint: Use the theorem: Hypotenuse² = Base² + Height².

Question 2

Easy

In a right triangle, if one leg is 3 cm and the hypotenuse is 5 cm, find the other leg.

💡 Hint: Rearrange the theorem to find the missing leg.

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

In a right-angled triangle, if one side is 9 cm and the other is 12 cm, what is the hypotenuse length?

  • 15 cm
  • 20 cm
  • 25 cm

💡 Hint: Remember to apply the theorem.

Question 2

True or False: The sides of a right triangle must always follow Pythagoras' Theorem.

  • True
  • False

💡 Hint: Think about the definition of a right triangle.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A triangular garden has sides of 5 m, 12 m, and an unknown length. Verify if it's a right triangle using Pythagoras' Theorem.

💡 Hint: Calculate the squares and apply the theorem.

Question 2

If the height of a right triangle is tripled and the base stays the same, how does the length of the hypotenuse change?

💡 Hint: Use the same base, but solve for new height to find new hypotenuse.

Challenge and get performance evaluation