Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Triangles ABC and DEF are similar. The lengths of the sides of ABC are 12, 15, and 20. The
length of the smallest side of DEF is 24. What is the length of the largest side of DEF?


Sagot :

Answer:

The length of the largest side of DEF is 40.

Step-by-step explanation:

Similar triangles' corresponding sides are proportional in length.

The smallest side of ABC is 12, and that is the corresponding side to the smallest side of DEF.

Calculate the proportional factor.

24 / 12 = 2.

Since similar triangles' sides are corresponding, the largest side of ABC will correspond with the largest side of DEF.

Calculate the largest side length.

20 * 2 = 40.

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.