Final answer:
The correct alternative related to the study of triangles' angles and sides is the Pythagorean theorem, which is a fundamental concept in trigonometry.
Step-by-step explanation:
Understanding the Pythagorean Theorem-
When studying triangles, particularly right-angled triangles, the correct alternative that relates to the angles and sides of a triangle is the Pythagorean theorem. This theorem is expressed in the equation c = √(a² + b²), where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse. The Pythagorean theorem is fundamental in trigonometry, and its reliability is rooted in the certainty that it will consistently produce the same result if calculations are done correctly.
On the other hand, Boyle's Law, Ohm's Law, and Newton's Law are not related to the study of the sides and angles of triangles but pertain to physics. Therefore, these are not the correct alternatives for the question concerned with triangles.
It is important to identify and apply the correct principles and formulas when solving problems in mathematics and physics to ensure the accuracy of the results. Each correct theorem or law provides a logical way to connect different concepts and helps in making predictions about the system being studied.