Question

1.c in each case, use the new theorems to arrange the lettered measures from greatest to least. answer: angles from greatest to least are ， ，. clear all basic trig

Explanation:

Step1: Recall angle - side relationship

In a triangle, the largest angle is opposite the longest side and the smallest angle is opposite the shortest side.

Step2: Identify side - angle pairs

The side of length 12 cm is opposite angle $\beta$, the side of length 9 cm is opposite angle $\alpha$, and the side of length 5 cm is opposite angle $\gamma$.

Step3: Arrange angles

Since 12>9>5, the angles from greatest to least are $\beta$, $\alpha$, $\gamma$.

Answer:

$\beta$, $\alpha$, $\gamma$