WP8 - Solve Triangle using Pythagorean Theorem

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
5844 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Description:

Find the lengths of the sides of the right triangle shown on the diagram. This is a Word Problem you solve by writing an equation and factoring.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
  • If in a right triangle, the longest leg is 7 feet longer than the shortest leg and the hypotenuse is 1 foot longer than twice the length of the shortest leg, what is the length of the hypotenuse?
  • How do you draw a picture of a triangle with dimensions from a word problem?
  • If a right triangle has legs x and x + 7, and the hypotenuse is 2x + 1, what does x equal?
  • How can you use the Pythagorean Theorem to solve a right triangle if each side has a variable in it?
  • How do you solve (2x + 1)^2 = x^2 + (x + 7)^2?
  • How do you solve 2x^2 - 10x - 48 = 0?
  • How do you solve x^2 - 5x - 24 = 0?
  • Why does x = -3 not work as a solution to a quadratic equation in a triangle word problem with side lengths x, x + 7, and 2x + 1?
  • How do you check your solution to a triangle word problem?
  • Staff Review

    • Currently 4.0/5 Stars.
    This is a great application problem for the Pythagorean Theorem. Each side is a variable expression and you must solve a quadratic equation to solve for x in order to obtain the side lengths.