In Delta DEF,mangle D=83^circ and mangle E=30^circ .Which list has the sides of Delta DEF in order from longest to shortest? Answer DE, EF, FD EF, DE, FD FD, DE, EF EF, FD, DE FD, EF, DE DE, FD, EF

To determine the order of the sides of triangle DEF from longest to shortest, we need to consider the angles of the triangle. In a triangle, the side opposite the largest angle is the longest, and the side opposite the smallest angle is the shortest.

Given that m∠D = 83° and m∠E = 30°, we can calculate m∠F using the fact that the sum of the angles in a triangle is 180°:

m∠F = 180° - m∠D - m∠E
m∠F = 180° - 83° - 30°
m∠F = 67°

Now, we can see that m∠D is the largest angle, followed by m∠F, and m∠E is the smallest angle. Therefore, the side opposite to m∠D (which is EF) is the longest, the side opposite to m∠F (which is DE) is the second longest, and the side opposite to m∠E (which is FD) is the shortest.

So, the correct order of the sides from longest to shortest is: EF, DE, FD.

Answer: EF, DE, FD