Math worksheet for practicing indirect proof and inequalities in triangles.

Based on the image provided, I need to order the sides of triangle JGH from shortest to longest.

Looking at the triangle JGH in the diagram:
- Vertex J has an angle marked as 70°
- Vertex G has an angle marked as 65°
- Vertex H has an angle marked as 45°

In any triangle, the side opposite the largest angle is the longest side, and the side opposite the smallest angle is the shortest side.

So, let's identify which side is opposite each angle:
- Side GH is opposite angle J (70°)
- Side JH is opposite angle G (65°)
- Side JG is opposite angle H (45°)

Now, ordering the angles from smallest to largest:
- Angle H = 45° (smallest)
- Angle G = 65° (middle)
- Angle J = 70° (largest)

Therefore, ordering the sides from shortest to longest (opposite the angles):
- Side JG (opposite 45° angle) is shortest
- Side JH (opposite 65° angle) is middle
- Side GH (opposite 70° angle) is longest

The sides of ∆JGH in order from shortest to longest are: JG, JH, GH.