The Pythagorean Theorem Quiz

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Questions and Answers

Which of the following statements accurately describes the Pythagorean theorem?

  • A mathematical formula used to calculate the area of a triangle.
  • A theorem that states the sum of the angles in a triangle is always 180 degrees.
  • A rule that states the ratio of the lengths of the sides of any right triangle is always the same.
  • A geometric principle that states the sum of the squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse. (correct)

Which of the following is an application of the Pythagorean theorem?

  • Measuring the distance between two points in a coordinate plane. (correct)
  • Finding the slope of a line.
  • Determining the area of a rectangle.
  • Calculating the circumference of a circle.

What is the formula for the Pythagorean theorem?

  • a^2 + b^2 = c
  • a^2 + b^2 = c^2 (correct)
  • a + b = c^2
  • a^2 - b^2 = c^2

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