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Questions and Answers
What is the sum of the angles in a triangle?
What is the sum of the angles in a triangle?
- 360 degrees
- 180 degrees (correct)
- 270 degrees
- 90 degrees
What type of triangle has all sides of equal length?
What type of triangle has all sides of equal length?
- Equilateral triangle (correct)
- Right triangle
- Isosceles triangle
- Scalene triangle
Which theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides?
Which theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides?
- Fermat's theorem
- Pascal's theorem
- Pythagorean theorem (correct)
- Euclidean theorem
What are the three types of triangles based on their side lengths?
What are the three types of triangles based on their side lengths?
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What is the name of the theorem that relates the lengths of the sides of a right triangle?
What is the name of the theorem that relates the lengths of the sides of a right triangle?
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What is the sum of the interior angles of a triangle?
What is the sum of the interior angles of a triangle?
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Study Notes
Angles in a Triangle
- The sum of the angles in a triangle is 180 degrees.
Types of Triangles
- An equilateral triangle is a type of triangle that has all sides of equal length.
Theorems
- The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides in a right triangle.
Classification of Triangles
- Triangles can be classified into three types based on their side lengths: equilateral, isosceles, and scalene.
Pythagorean Theorem
- The Pythagorean theorem relates the lengths of the sides of a right triangle, and is a fundamental concept in geometry.
Interior Angles
- The sum of the interior angles of a triangle is 180 degrees, a fundamental property of triangles.
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