To list the sides of the triangle from shortest to longest, we need to consider the angles opposite each side. The side opposite the largest angle will be the longest side, and the side opposite the smallest angle will be the shortest side, because in any triangle, the lengths of sides are directly proportional to the measures of their opposite angles.
Given the angles of the triangle:
- Angle J = 57 degrees
- Angle K = 78 degrees
- Angle L = 45 degrees
We can see that the angles are in the following order from smallest to largest:
Angle L < Angle J < Angle K
Therefore, the sides opposite these angles will be in the following order from shortest to longest:
- Side opposite Angle L (or side JK)
- Side opposite Angle J (or side LK)
- Side opposite Angle K (or side LJ)
So, the sides from shortest to longest are:
line JK < line LK < line LJ
List the sides in order from shortest to longest
Angle J is equal to 57 degree's
Angle K is equal to 78 degree's
Angle L is equal to 45 degree's
options
line LK
line JK
line LJ
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