Practice The Converse of Pythagoras' Theorem - 1.2 | 3. Theorems in Geometry & Trigonometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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1.2 - The Converse of Pythagoras' Theorem

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

In a triangle with sides 4 cm, 3 cm, and 5 cm, does it qualify as a right triangle using the converse theorem?

💡 Hint: Remember to check if the square of the longest side equals the sum of the squares of the other two.

Question 2

Easy

True or False? If a triangle has sides of 1 cm, 2 cm, and 3 cm, it is a right triangle.

💡 Hint: Calculate to check the validity.

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 the Converse of Pythagoras' Theorem determine?

  • It identifies all types of triangles
  • It determines if a triangle is right-angled
  • It can only be used with isosceles triangles

💡 Hint: Consider what property the theorem relates to.

Question 2

True or False? By using the converse of the Pythagorean theorem, if a triangle's longest side squared equals the sum of the other two's squares, it is confirmed as a right triangle.

  • True
  • False

💡 Hint: Look closely at the theorem's definition.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a geometric proof, show whether the triangle with sides measuring 20 cm, 21 cm, and 29 cm can exist as a right triangle.

💡 Hint: Use basic algebraic identities to check for side relationships.

Question 2

If a right triangle has one leg measuring 9 cm and another leg measuring 12 cm, what is the length of the hypotenuse? Does it still fulfill the converse theorem?

💡 Hint: This is a straightforward approach for determining the hypotenuse.

Challenge and get performance evaluation