Practice - The Converse of Pythagoras' Theorem
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Practice Questions
Test your understanding with targeted questions
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.
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.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Converse of Pythagoras' Theorem determine?
💡 Hint: Consider what property the theorem relates to.
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.
💡 Hint: Look closely at the theorem's definition.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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