List the sides of the triangle in order from longest to shortest. The diagram is not to scale.
Triangle D E F is shown. Angle D is labeled 86 degrees. Angle E is labeled 44 degrees. Angle F is labeled 50 degrees.
(1 point)
Responses
line segment E F, line segment F D, line segment D E
Image with alt text: line segment E F , Image with alt text: line segment F D , Image with alt text: line segment D E
line segment F D, line segment D E, line segment E F
Image with alt text: line segment F D , Image with alt text: line segment D E , Image with alt text: line segment E F
line segment E F, line segment D E, line segment F D,
Image with alt text: line segment E F , Image with alt text: line segment D E , Image with alt text: line segment F D ,
line segment D E, line segment F D, line segment E F
Image with alt text: line segment D E , Image with alt text: line segment F D , Image with alt text: line segment E F
The sides of the triangle, listed from longest to shortest, are:
1. line segment D E
2. line segment F D
3. line segment E F
To determine the order of the sides of the triangle from longest to shortest, we can use the fact that angles opposite longer sides are larger than angles opposite shorter sides. In this case, we are given the angles of Triangle DEF: Angle D is labeled 86 degrees, Angle E is labeled 44 degrees, and Angle F is labeled 50 degrees.
Since Angle D (86 degrees) is the largest angle, we know that side DE is the longest side. Similarly, since Angle E (44 degrees) is the smallest angle, we know that side EF is the shortest side.
Therefore, the order of the sides from longest to shortest is: line segment DE, line segment DF, line segment EF.