Hypotenuse: Definition & Formula


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question 1 of 3

Solve for c

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1. A wire runs from the top of a 16 ft pole to a spot on the ground 12 feet away from the pole. This wire needs to be replaced. How long of a wire will be required?

2. A surveyor is measuring the width of a pond. She chooses a landmark on the opposite side of the pond, and measures the angle to this landmark from a point 50 ft away from the original point. How wide is the pond (x)?

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About This Quiz & Worksheet

Evaluate your ability to solve problems using the Pythagorean Theorem on this quiz. Practice problems assess your understanding of right triangle measurements and how they might be used in everyday life.

Quiz & Worksheet Goals

On these practice problems you will be tested on your ability to:

  • Recall the formula used in the Pythagorean Theorem
  • Apply the Pythogorean Theorem to real life scenarios
  • Find the length of the third side of a triangle when given the first two lengths

Skills Practiced

This quiz allows students to practice the following skills:

  • Making connections- use understanding of the Pythagorean Theorem
  • Problem solving- use acquired knowledge to solve these given practice problems
  • Interpreting information- verify that you can read word problems regarding right triangles and interpret them correctly

Additional Learning

To learn more about the Pythagorean Theorem and how it's applied to real life, review the accompanying lesson on Properties of the Hypotenuse. This lesson covers the following objectives:

  • Define right triangle, opposite, adjacent and hypotenuse
  • Understand the Pythagorean Theorem and its uses in trigonometry and geometry
  • Find the side length of a triangle given other two lengths
  • Use properties of sine, cosine and tangent to find angle measures and side lengths
  • Interpret information from word problems accurately to set up related equations