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Answer 1

Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

Properties of Similar Triangles:

• The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.

Given that ΔABC and ΔDEF are similar triangles, therefore:

• Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.
• Let, x, y, and z be the sides of ΔDEF.
• Let z = 18

Thus:

a/x = b/y = c/z

• Substitute

6/x = 8/y = 12/18

Find x using 6/x = 12/18:

6/x = 12/18

• Cross multiply

x = $\frac{18 \times 6}{12}$

x = 9

Find x using 8/y = 12/18:

8/y = 12/18

• Cross multiply

x = $\frac{18 \times 8}{12}$

x = 12

Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

Learn more about similar triangles on:

brainly.com/question/11899908