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Which of the following best describes the 'Pythagorean theorem'?

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Question: Which of the following best describes the \'Pythagorean theorem\'?

Options:

  1. It relates the angles of a triangle.
  2. It provides a formula for the area of a circle.
  3. It establishes a relationship between the sides of a right triangle.
  4. It is used to calculate the volume of three-dimensional shapes.

Correct Answer: It establishes a relationship between the sides of a right triangle.

Solution: 

The Pythagorean theorem establishes a relationship between the lengths of the sides of a right triangle, specifically stating that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Which of the following best describes the 'Pythagorean theorem'?

Practice Questions

Q1
Which of the following best describes the 'Pythagorean theorem'?
  1. It relates the angles of a triangle.
  2. It provides a formula for the area of a circle.
  3. It establishes a relationship between the sides of a right triangle.
  4. It is used to calculate the volume of three-dimensional shapes.

Questions & Step-by-Step Solutions

Which of the following best describes the 'Pythagorean theorem'?
  • Step 1: Understand what a right triangle is. A right triangle has one angle that is exactly 90 degrees.
  • Step 2: Identify the sides of the right triangle. The longest side is called the hypotenuse, and the other two sides are called the legs.
  • Step 3: Learn the Pythagorean theorem formula. It is written as a² + b² = c², where 'a' and 'b' are the lengths of the legs, and 'c' is the length of the hypotenuse.
  • Step 4: Apply the theorem. To find the length of the hypotenuse, square the lengths of the two legs, add those squares together, and then take the square root of that sum.
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