Converse of Pythagoras Theorem Worksheet
Grade 11 worksheet on the Converse of Pythagoras Theorem, determining if a triangle is a right-angled triangle given its side lengths.
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Converse of Pythagoras Theorem
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Read each question carefully and determine if the given side lengths form a right-angled triangle. Show all your work.
1. The sides of a triangle are 8 cm, 15 cm, and 17 cm. Is this a right-angled triangle? Justify your answer.
2. A triangle has side lengths of 7 inches, 24 inches, and 25 inches. Is it a right-angled triangle? Explain your reasoning.
3. A triangle with side lengths 6 cm, 8 cm, and 10 cm is a right-angled triangle.
True
False
4. If the square of the longest side of a triangle is less than the sum of the squares of the other two sides, then the triangle is obtuse.
True
False
5. 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.
6. If a triangle has sides a, b, and c, and c is the longest side, then if a² + b² > c², the triangle is .
7. Which set of side lengths forms a right-angled triangle?
4, 5, 6
9, 12, 15
2, 3, 4
1, 2, 3
8. If a triangle has sides of length 10 m, 24 m, and 26 m, what type of triangle is it?
Acute
Obtuse
Right-angled
Isosceles