SOLUTION: Complete: If (x, 12, 13) is a Pythagorean triple, then x = ________

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Question 152067This question is from textbook Algebra 1 An Incremental Development
: Complete: If (x, 12, 13) is a Pythagorean triple, then x = ________ This question is from textbook Algebra 1 An Incremental Development

Answer by mangopeeler07(462) About Me  (Show Source):
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Complete: If (x, 12, 13) is a Pythagorean triple, then x = ________

x=a
12=b
13=c

Pythagorean:
a%5E2%2Bb%5E2=c%5E2

Plug in values
x%5E2%2B12%5E2=13%5E2

Simplify
x%5E2%2B144=169

Subtract 144 from both sides
x%5E2=25

Square root both sides
x=5

(x, 12, 13)

Pythagorean Triple: (5, 12, 13)