Triangle KLM
 is similar to triangle RTU
. The triangles are shown with side lengths in centimeters.
 

 
What is the length of side RU
 in centimeters?
A.11 23
 cm 
B.3 12
 cm 
C.2 1112
 cm
D.6 12
 cm 


To find the length of side \( RU \) in centimeters, we can use the fact that similar triangles have proportional sides. This means the ratios of corresponding sides of similar triangles are equal.

Let’s denote the corresponding sides of the triangles:

- Side \( KL \) in triangle \( KLM \) corresponds to side \( RT \) in triangle \( RTU \),
- Side \( LM \) in triangle \( KLM \) corresponds to side \( TU \) in triangle \( RTU \),
- Side \( KM \) in triangle \( KLM \) corresponds to side \( RU \) in triangle \( RTU \).

Given this, if we know the side lengths of triangles \( KLM \) and \( RTU \), we can set up a proportion to solve for the length of \( RU \).

Please provide the specific side lengths of triangles \( KLM \) and \( RTU \) or confirm which ones are known, and I can calculate the length of \( RU \). 

Do you want me to clarify the steps further?

Here are 5 related questions for further practice:
1. What are the properties of similar triangles?
2. How can you find a missing side in similar triangles if only two sides are known?
3. What is the difference between congruent and similar triangles?
4. How do angle measures in similar triangles compare?
5. What is the effect of the scale factor on the side lengths of similar triangles?

**Tip:** When working with similar triangles, always check that the sides you're comparing are indeed corresponding to avoid errors.

Triangle KLM is similar to triangle RTU. The triangles are shown with side lengths in centimeters. What is the length of side RU in centimeters?
A. 11.23 cm
B. 3.12 cm
C. 2.1112 cm
D. 6.12 cm

Learn how to find the missing length of side RU in triangle RTU by using the properties of similar triangles and proportionality. The problem involves the Triangle Similarity Theorem and calculating proportional side lengths, suitable for students in Grades 8-10.

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