The image you've uploaded shows a worksheet with several right-angled triangles and corresponding measurements. It appears to involve solving for missing sides using proportional relationships for right triangles. Let's break it down and solve the problems step by step.

Here is a summary of the triangles:

1. Triangle 1 (ABC):

   • This triangle has sides labeled as AB, AC, and BC.
   • There are proportional relationships mentioned for small, medium, and large sizes based on different sides of the triangle.

2. Triangle 2 (abc):

   • Another right triangle with sides a, b, and c.
   • Similarly, proportions are given for small, medium, and large triangles.

3. Triangle 3 (xyz):

   • This triangle has sides x, y, and z, where x = 10 and z = 20.
   • There’s a request for solving for the missing sides x, y, and z based on proportions.

To proceed, would you like me to help you solve one of these triangles step by step or do you have a specific question about them?

If you want, I can solve Triangle 3 as an example, using the proportions provided. Let me know how you'd like to continue!

Related Questions:

1. How do you set up proportions for similar right triangles?
2. What is the Pythagorean theorem, and how does it apply to right triangles?
3. Can you solve for missing sides using the Pythagorean theorem directly?
4. How do you use trigonometric ratios (like sine, cosine, and tangent) to solve for sides of a right triangle?
5. How can you check if two triangles are similar?

Tip: To find missing sides in a right triangle, start by identifying known proportions or applying the Pythagorean theorem if it's a right triangle!