In the provided image of right-angled triangles, you need to identify the sides as opposite, adjacent, or hypotenuse for each triangle with respect to the given angle. Here’s the breakdown for each triangle:

1. Triangle with side 'd':

   • Opposite: Side 'd' is opposite the marked angle.
   • Adjacent: The side next to the marked angle but not the longest side.
   • Hypotenuse: The longest side, opposite the right angle.

2. Triangle with side 'e':

   • Opposite: Side 'e' is opposite the marked angle.
   • Adjacent: The side next to the marked angle but not the longest side.
   • Hypotenuse: The longest side, opposite the right angle.

3. Triangle with side 'f':

   • Opposite: Side 'f' is opposite the marked angle.
   • Adjacent: The side next to the marked angle but not the longest side.
   • Hypotenuse: The longest side, opposite the right angle.

4. Triangle with side 'g':

   • Opposite: Side 'g' is opposite the marked angle.
   • Adjacent: The side next to the marked angle but not the longest side.
   • Hypotenuse: The longest side, opposite the right angle.

5. Triangle with side 'c':

   • Opposite: Side 'c' is opposite the marked angle.
   • Adjacent: The side next to the marked angle but not the longest side.
   • Hypotenuse: The longest side, opposite the right angle.

6. Triangle with side 'b':

   • Opposite: Side 'b' is opposite the marked angle.
   • Adjacent: The side next to the marked angle but not the longest side.
   • Hypotenuse: The longest side, opposite the right angle.

Would you like further details on any triangle or another mathematical concept?

Here are some related questions to consider:

1. How would you use the Pythagorean theorem to verify the lengths of these triangles if the side lengths were given?
2. Can you explain the trigonometric ratios (sine, cosine, and tangent) using one of these triangles?
3. What is the relationship between the angles in a right triangle besides the right angle?
4. How can you calculate the area of these triangles?
5. What changes would occur in the classifications of the sides if the angle opposite the hypotenuse was the marked angle?

Tip:

Always remember that in a right-angled triangle, the hypotenuse is always the side opposite the right angle, making it the longest side of the triangle.