# Intermediate Algebra - Pythagorean Theorem

by Alex
(Largo)

Pythagorean Theorem

Use the Pythagorean theorem to find the length of the missing side.

a^(2) + b^(2) = c^(2)

when c = 7 and b = 6

### Comments for Intermediate Algebra - Pythagorean Theorem

 Jun 12, 2013 Missing Side by: Staff Answer Part I Pythagorean Theorem a² + b² = c² Substitute Known Values b = 6 c = 7 a² + 6² = 7² --------------------------------------------------------

 Jun 12, 2013 Missing Side by: Staff -------------------------------------------------------- Part II Solve for "a" a² + 36 = 49 a² + 36 - 36 = 49- 36 a² + 0 = 13 a² = 13 √(a²) = √(13) a = √(13) a ≈ 3.605551275 ---------------------------------------------- check answer a² + b² = c² a ≈ 3.605551275 b = 6 c = 7 (3.605551275)² + 6² = 7² 13 + 36 = 49 49 = 49, OK → a ≈ 3.605551275 is a valid solution Thanks for writing. Staff www.solving-math-problems.com

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