Question

If AB = 8, BC = 16, and CA = 13, list the angles of ABC in order from smallest to largest.

options are
a,b,c
c,b,a
b,a,c
c,a,b

Answer 1

Answer:
C , B , A

Step-by-step explanation:
In any triangle, there is a direct relation between the measure of the angle and the length of the opposite side.
This means that:
- The longest side will be the one opposite to the largest angle
- The shortest side will be the one opposite to the smallest angle

In the given triangle:
- The longest side is BC, this means that the largest angle is angle A
- The shortest side is AB, this means that the smallest angle is C
- CA has an intermediate length (AB < CA < BC), this means that measure angle B will be greater than C and less than A

Based on the above, the order from the smallest angle to the largest angle will be as follows:
C < B < A

Hope this helps :)