Question

Non right angle triangles where all the side values are known, but have no known angles. can only be solved in which method?

a. Law of Sines
b. Trigonometric functions
c. Pythagorean Theorem
d. Law of Cosines

Answer 1

d) Law of Cosines

Step-by-step explanation:

a² = b² + c² - 2 bc Cos A.

b² = a² + c² - 2ac Cos B.

c² = a²+ b² - 2 a b Cos C.

Here the values of a, b, and c are known. So the measures of angles A, B and C can be calculated using the above laws of Cosines.

Answer 2

Answer: D

Step-by-step explanation:

d. Law of Cosines

The Law of Cosines is used to solve non-right triangles when all the side lengths are known but no angles are given. It states that for any triangle with sides of lengths a, b, and c and angles opposite those sides A, B, and C, the following relationship holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

This formula allows you to find the measures of the angles in a triangle when you know the lengths of all three sides. If you have only two side lengths and need to find the third side length, you can use other methods such as the Pythagorean Theorem or the Law of Sines.