4. which of the following sets of numbers is a pythagorean triple?
a. 4, 5, 6
b. 8, 15, 17
c. 5, 12, 14
d. 8, 24, 25
suppose a triangle has side lengths 6, 7, and 10. which of the following best describes this triangle?
a. obtuse
b. acute
c. right
d. cannot be determined.

Here are the answers to the given questions above:
4. When we say pythagorean triple, this would consists of three positive integers a, b, and c, such that a2 + b2 = c2. So for the given numbers above, the set that is considered a pythagorean triple would be B.  8, 15, 17.
5. The correct answer for this question would be option D. It cannot be determined whether the triangle is obtuse, acute or right if the given values are the side lengths. It should be angles. Hope this answer helps.