Question

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.

Answer 1

In each case you have 3 numbers. In all three cases, the last number is the largest, right?
A Pythagorean triple is a set of numbers that satisfies the following: a^2 + b^2 = c^2, where c is the longest side.

Answer 2

answer for the first part is C. and well it'll be a scalar triangle with three acute angles so... I'd say B.

Answer 3

I imagine you're focused on finding the answer to the second question, whereas I'm focused on helping you to understand the mathematics underlying this question.
Would you mind explaining why you think the triangle is acute?
If necessary, draw a diagram.

Answer 4

Well at first glance I assumed from a little sketch that all three angles would be less than 90 degrees. but then thinking about it further, only two of the angles are acute and one is obtuse so I'd switch my answer from acute to obtuse.

Answer 5

that makes a great deal of sense! Did you draw your diagram "to scale"?

Answer 6

Note that I have not done this problem myself. You've done the work (and apparently done it well), so I'm responding to your reasoning.

Answer 7

Yes I did eventually draw it to scale and found that the angles were 36, 44 and 100 degrees, and thank you.