High School

We appreciate your visit to Solve triangle ABC If an answer does not exist enter DNE A a 241 b 166 c 126 B a 166 b 241 c 126. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Solve triangle ABC. (If an answer does not exist, enter DNE.)

A) a = 241, b = 166, c = 126
B) a = 166, b = 241, c = 126
C) a = 126, b = 166, c = 241
D) a = 241, b = 126, c = 166

Answer :

Final answer:

To determine the validity of a triangle, the triangle inequality theorem is used. It states that the sum of two sides' lengths must be more than the third. Thus, among all the options, only triangle C (a = 126, b = 166, c = 241) is a valid triangle.

Explanation:

In the field of mathematics, specifically trigonometry, to 'solve' a triangle means to find all its angles and sides. In the context of triangle ABC with sides a, b, c, the triangle inequality theorem is crucial. It states that the sum of the lengths of any two sides must be greater than the length of the remaining side.

For A) and D), the sum of two sides is less than the third side (for A: 166 + 126 < 241, for D: 241 + 126 < 166), so these are not valid triangles. For B), the sum of two smaller sides is equal to length of the largest (166 + 126 = 241), forming a degenerate triangle, essentially a straight line. Finally, for C), it forms a valid triangle as each pair of sides sum are more than the third side. Solving for the angles using law of cosines or sines could be the next step for C).

Learn more about Solving Triangles here:

https://brainly.com/question/32183568

#SPJ11

Thanks for taking the time to read Solve triangle ABC If an answer does not exist enter DNE A a 241 b 166 c 126 B a 166 b 241 c 126. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada