We appreciate your visit to Is triangle KLM similar to triangle KBC. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer:
Triangle KLM is not similar to triangle KBC.
Step-by-step explanation:
In similar triangles, corresponding sides are always in the same ratio. Therefore, if ΔKLM ~ ΔKBC then:
[tex]\dfrac{KL}{KB}=\dfrac{LM}{BC}=\dfrac{KM}{KC}[/tex]
From inspection of the given diagram:
Substitute these values into the proportion:
[tex]\dfrac{KL}{KB}=\dfrac{KM}{KC}\\\\\\\\\dfrac{88}{16}\overset{?}=\dfrac{132}{25}\\\\\\\\\dfrac{88}{16}\overset{?}=\dfrac{132}{25}\\\\\\\\\dfrac{11}{2}\overset{?}=\dfrac{132}{25}[/tex]
Rewrite the ratios with the common denominator of 50:
[tex]\dfrac{11\times 25}{2\times 25}\overset{?}=\dfrac{132\times 2}{25\times 2}\\\\\\\\\dfrac{275}{50}\neq\dfrac{264}{50}[/tex]
Since the two ratios are not equal, the triangles are not similar based on the given side lengths.
Thanks for taking the time to read Is triangle KLM similar to triangle KBC. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
Rewritten by : Barada
