Any set of three positive integers that satisfies the equation a 2 + b 2 = c 2 is a Pythagorean triple. Determine whether each set of numbers is a Pythagorean triple. 40, 96, 104
Any set of three positive integers that satisfies the equation a 2 + b 2 = c 2 is a Pythagorean triple. Determine whether each set of numbers is a Pythagorean triple. 40, 96, 104
Any set of three positive integers that satisfies the equation
a
2
+
b
2
=
c
2
is a Pythagorean triple. Determine whether each set of numbers is a Pythagorean triple.
40, 96, 104
Expert Solution & Answer
To determine
To find whether the set of given numbers is a Pythagorean triple.
Answer to Problem 26P
The set of numbers is a Pythagorean triple.
Explanation of Solution
Given information:
The given numbers are:
40,96,104
Formula used:
The following formula is used:
(hypotenuse)2=(base)2+(height)2
Calculation:
Take the largest side as the hypotenuse and substitute the values in the formula:
c2=a2+b21042=402+96210816=1600+921610816=10816
Since, the equation is satisfied, the set of numbers is a Pythagorean triple.
Elementary Algebra: Concepts and Applications (10th Edition)
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