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. 12, 60, 61
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. 12, 60, 61
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.
12, 60, 61
Expert Solution & Answer
To determine
To find whether the set of given numbers is not a Pythagorean triple.
Answer to Problem 30P
The set of numbers is not a Pythagorean triple.
Explanation of Solution
Given information:
The given numbers are:
12,60,61
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+b2612=122+6023721=144+36003721≠3744
Since, the equation is not satisfied, the set of numbers is not a Pythagorean triple.
Differential Equations and Linear Algebra (4th Edition)
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Introduction to Statistics..What are they? And, How Do I Know Which One to Choose?; Author: The Doctoral Journey;https://www.youtube.com/watch?v=HpyRybBEDQ0;License: Standard YouTube License, CC-BY