Answer:
5. yes
6. no
Step-by-step explanation:
5. yes
You know this because you're familiar with the first few Pythagorean triples:
(3, 4, 5), (5, 12, 13), (7, 24, 25), ...
If you're not, you can use the Pythagorean theorem to check. The sides will form a right triangle if and only if they satisfy the Pythagorean theorem.
13^2 = 12^2 +5^2
169 = 144 + 25 . . . . . . true
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6. no
Your knowledge of numbers tells you that these numbers cannot satisfy the Pythagorean theorem.* The sum of an even and and odd number cannot be even. (The square of a number has the same parity as the number itself.)
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* Thanks to Brainly, I recently figured out that you can apply a parity test to candidates for right triangle sides. The number of odd-length sides must be even. There cannot be a right triangle with integer side lengths, only one of which is odd.
