The sets 8, 15, and 17 is a Pythagorean triple. And we can not determine the triangle by the sides.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
1. The sets of numbers is a Pythagorean triple will be
If the set will satisfy the Pythagoras theorem, then the set will be a right-angle triangle.
Pythagoras theorem is given as
H² = P² + B²
A. 4, 5, 6, then
H² = P² + B²
6² = 5² + 4²
36 = 25 + 16
36 ≠ 41
This is not Pythagorean triple.
B. 8, 15, 17, then
H² = P² + B²
17² = 15² + 8²
289 = 225+ 64
289 = 289
This is a Pythagorean triple.
C. 5, 12, 14, then
H² = P² + B²
14² = 5² + 12²
196 = 25 + 144
196 ≠ 169
This is not Pythagorean triple.
D. 8, 24, 25, then
H² = P² + B²
25² = 24² + 8²
625 = 576 + 64
625 ≠ 640
This is not Pythagorean triple.
2. Suppose a triangle has side lengths 6, 7, and 10. Then it is impossible to get the idea about the triangle that a triangle is obtuse, acute, or right triangle by the sides.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
