Converse of Pythagoras Theorem Worksheet
A Grade 12 Math worksheet focusing on applying the Converse of Pythagoras Theorem to determine if a triangle is a right-angled triangle.
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Standards
Converse of Pythagoras Theorem
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Read each question carefully and apply the Converse of Pythagoras Theorem to determine if the given triangles are right-angled. Show all your work.
1. A triangle has sides of length 9 cm, 12 cm, and 15 cm. Is this a right-angled triangle? Justify your answer.
2. Which set of side lengths could form a right-angled triangle?
5, 6, 7
8, 15, 17
4, 5, 6
10, 20, 25
3. According to the Converse of Pythagoras Theorem, if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a triangle.
4. A triangle with sides 7 cm, 24 cm, and 25 cm is a right-angled triangle.
True
False
5. Determine if a triangle with vertices A(1,1), B(4,1), and C(4,5) is a right-angled triangle. Show your calculations.
6. Look at the triangle below. Is it a right-angled triangle? Prove your answer using the Converse of Pythagoras Theorem.