WP5-Solve triangle using Pythagorean theorem

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
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Lesson Description:

This is a Word Problem you solve by writing an equation and factoring. Word Problem 5 - Pythagorean Theorem-Find the lengths of the sides of the right triangle shown on the diagram.

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Questions answered by this video:
  • How do you solve a word problem in Algebra 2 that uses the Pythagorean Theorem?
  • What is the Pythagorean Theorem?
  • If the sides of a right triangle are x + 6, x + 7, and x + 8, what are the lengths of the sides of the triangles?
  • How do you solve geometry word problems by writing, factoring, and solving quadratic equations?
  • How do you solve (x + 6)^2 + (x + 7)^2 = (x + 8)^2?
  • How do you know when you can eliminate an answer that does not make sense in a word problem?
  • How can you check to make sure that your answer is correct in a word problem?
  • How do you solve x^2 + 10x + 21 = 0?
  • Staff Review

    • Currently 4.0/5 Stars.
    This problem gets very complicated very quickly, as there are three binomials to foil, which wind up as 9 terms in the equation. The Pythagorean Theorem is used in this problem in which you end up factoring and solving a quadratic equation.