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. 70, 240, 250
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. 70, 240, 250
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.
70, 240, 250
Expert Solution & Answer
To determine
To find whether the set of given numbers is not a Pythagorean triple.
Answer to Problem 29P
The set of numbers is a Pythagorean triple.
Explanation of Solution
Given information:
The given numbers are:
70,240,250
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+b22502=2402+70262500=57600+490062500=62500
Since, the equation is satisfied, the set of numbers is a Pythagorean triple.
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
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