Answer:
yes
Explanation:
You want to know if side lengths of 8 cm, 15 cm, and 17 cm will form a right triangle.
Pythagorean triple
The triple of side lengths {8, 15, 17} is called a Pythagorean triple, because it is an integer solution to the relationship described by the Pythagorean theorem:
a² + b² = c²
8² + 15² = 17²
64 + 225 = 289 . . . . . . true
This means these lengths will form a right triangle.
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Additional comment
Other triples commonly seen in algebra, trig, and geometry problems are ...
(3, 4, 5), (5, 12, 13), (7, 24, 25), (9, 40, 41)
It can be worthwhile to remember these (or keep the list handy).
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