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?
Related Worksheets
Tangent Function Mastery - Grade 10
This worksheet focuses on understanding and applying the tangent function in right-angled triangles and on the coordinate plane for Grade 10 students.
Angle of Depression Worksheet
A Grade 10 Math worksheet focusing on understanding and calculating the angle of depression in various real-world scenarios.
Trigonometric Equations Worksheet
A Grade 10 Math worksheet covering solving trigonometric equations, including sine, cosine, and tangent functions.
Sine and Cosine Graphs Worksheet
Understand and graph sine and cosine functions, including amplitude, period, and phase shift.
Angle of Elevation and Depression Worksheet
This worksheet focuses on understanding and applying the concepts of angle of elevation and depression in various real-world scenarios for Grade 10 students.
Sum and Difference Identities Worksheet
Grade 10 Math worksheet covering sum and difference identities for sine, cosine, and tangent.
Sine Law Ambiguous Case Worksheet
Explore the ambiguous case of the Sine Law with various triangle scenarios and problem-solving exercises for Grade 10 students.
Cotangent Functions Worksheet - Grade 10
Explore cotangent functions, their graphs, properties, and applications in trigonometry for Grade 10 students.