If AB = 8, BC = 16, and CA = 13, list the angles of ABC in order from smallest to largest.
1 answer:
Answer:
C , B , A
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 :)
C , B , A
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 :)
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Final Answer