# WP5-Solve triangle using Pythagorean theorem

Taught by YourMathGal
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Lesson Summary:

In this Pythagorean theorem lesson, the instructor uses a word problem to demonstrate how to find the lengths of the sides of a right triangle. By using the formula A squared plus B squared equals C squared, students can easily solve for the unknown sides. The video covers how to factor and solve algebraic equations to determine the values of A, B, and C in the equation. The lesson concludes by reminding students to ensure their final solution makes sense given the context of the problem.

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.

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

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.