Question

Choose the word that correctly completes the statement. Triangle A B C is shown. Angle A C B is 45 degrees, angle C B A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side. adjacent included longest shortest

Answer 1

Answer is :

C: Longest

Answer 2

Answer:

longest

Step-by-step explanation:

Using the sin rule of a triangle, we can know that the sin value of an angle will be directly related to the length of the side it's facing. Angle B is the largest angle out of the three. The sin value of an angle will be larger if the angle is larger (from 0 to 90). Sin 75 is 0.97, sin 60 is 0.87, and sin 45 is 0.71

That means the largest angle will have the largest sin value. The largest sin value means the side will be the longest side.