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For more information, please see full course syllabus of Pre Algebra
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Lecture Comments (3)

1 answer

Last reply by: Professor Fung
Thu Oct 25, 2012 4:22 PM

Post by Ahmed Mahdi on October 24, 2012

you said that the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. But none of the examples you give us when you add the two legs are equal to the hypotenuse. why?

0 answers

Post by Michelle Giacalone on June 9, 2011

Admittedly I haven't had time to test this beyond a few examples, but for solving a or b, a over c = b (or b over c = a) seems to work.

Using the Pythagorean Theorem

  • A right triangle is a triangle with one right, 90°, angle. It has two legs, which are the shorter sides. The hypotenuse is the longest side and is the diagonal; it‘s the side across from the right angle.
  • The Pythagorean Theorem, a2 + b2 = c2, shows how the lengths of the sides in a right triangle are related. The sum of the squares of the legs is equal to the hypotenuse.
  • The letters a, b, and c are commonly used to represent the sides of a right triangle. a and b are used to represent the legs and c is used to represent the hypotenuse.
  • You can use different forms of the Pythagorean Theorem to find the measurement of either leg, or the hypotenuse.
  • You can use the Pythagorean Theorem to determine whether a triangle is a right triangle. If the sum of the squares of the legs does not equal the hypotenuse the triangle is not a right triangle.

Using the Pythagorean Theorem

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • What You'll Learn and Why 0:07
    • Topics Overview
  • Vocabulary 0:30
    • The Pythagorean Theorem
  • Find the Length of a Leg 1:14
    • Example 1: Length of Ramp
    • Example: 2 Length of Platform
  • Identifying a Right Triangle 6:13
    • Example 3: Determine Right Triangle
    • Example 4: Determine Right Triangle
  • Extra Example 1: Find the Missing Leg Length 10:04
  • Extra Example 2: Length of Ladder 11:39
  • Extra Example 3: Determine Given Lengths 13:04
  • Extra Example 4: Length of Pole 14:20