9514 1404 393
Answer:
D. Yes, because 5² +12² = 13²
Step-by-step explanation:
To determine if a triple of three numbers will form a right triangle, see if they satisfy the Pythagorean theorem. If they do, the sum of the squares of the smaller two numbers will equal the square of the largest.
Here, we have ...
5² + 12² ?? 13²
25 +144 ?? 169
169 = 169 . . . . . . these side lengths will form a right triangle
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Additional comment
Three integer numbers like these that will satisfy the Pythagorean theorem are called a "Pythagorean triple." A few such triples that are commonly seen in algebra and trig problems are ...
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)
It is worthwhile to remember a few of these, as you will see them again.
