Question

How do you find the range of all possible third sides given two sides of a triangle?

a) Using the Pythagorean theorem
b) Using the Law of Cosines
c) Using the Law of Sines
d) Using the Law of Tangents

Answer 1

The range of all possible third sides of a triangle can be found using the Law of Cosines.The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. The formula is: c^2 = a^2 + b^2 - 2abcos(C), where c is the third side, a and b are the given sides, and C is the angle opposite to the side c. By rearranging the formula and solving for c, you can find the range of all possible third sides.

Step-by-step explanation:

The range of all possible third sides of a triangle can be found using the Law of Cosines. The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. The formula is: c^2 = a^2 + b^2 - 2abcos(C), where c is the third side, a and b are the given sides, and C is the angle opposite to the side c. By rearranging the formula and solving for c, you can find the range of all possible third sides.