logo for solving-math-problems.com
leftimage for solving-math-problems.com

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

Click here to add your own comments

Jun 12, 2013
Missing Side
by: Staff


Answer

Part I

Pythagorean Theorem

a² + b² = c²

Pythagorean Theorem


Substitute Known Values

b = 6

c = 7

a² + 6² = 7²

Pythagorean Theorem - substitute known values




--------------------------------------------------------

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

Pythagorean Theorem - solve for side a






----------------------------------------------

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


Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com