9514 1404 393
Answer:
b = 12
Explanation:
A commonly seen "Pythagorean triple" is (a, b, c) = (5, 12, 13).
The value of b is 12.
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You may be expected to find this using the Pythagorean theorem.
a² +b² = c²
b² = c² - a²
b = √(c² -a²) = √(13² -5²) = √(169 -25) = √144
b = 12
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Additional comment
Pythagorean triples you will run across are ...
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)
and their multiples, such as 2×(3, 4, 5) = (6, 8, 10). Of course, there are an infinite number of integer Pythagorean triples, but these are ones commonly seen in algebra, trig, and geometry problems.