Converse of Pythagoras Theorem Worksheet
A Grade 10 Math worksheet covering the Converse of Pythagoras Theorem with various question types.
Includes
Standards
Converse of Pythagoras Theorem
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which set of side lengths forms a right-angled triangle?
3, 4, 6
5, 12, 13
7, 8, 9
2, 3, 4
2. If the sides of a triangle are a, b, and c, and a² + b² = c², what type of triangle is it?
Acute
Obtuse
Right
Equilateral
1. The Converse of the Pythagorean Theorem states that 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.
2. If a² + b² > c², where c is the longest side, the triangle is .
1. A triangle with side lengths 8, 15, and 17 is a right-angled triangle.
True
False
2. If the sides of a triangle are 6, 8, and 11, it is an obtuse triangle.
True
False
1. Determine if a triangle with side lengths 9 cm, 12 cm, and 15 cm is a right-angled triangle. Show your calculations.
2. A triangle has sides of length 7, 24, and 25 units. Is it a right triangle? Justify your answer.
3. Consider a triangle with sides measuring 10 inches, 24 inches, and 26 inches.
a) Is this a right-angled triangle? Show your work.
b) If it is, what are the lengths of the legs and the hypotenuse?
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