Question

i \can\ similarity
δabc has side lengths 14, 8, and 10.4. what are possible side lengths of δdef if δabc ~ δdef?
a 28,20,20.8 c 28,20,26
b 35,16,20.8 d 35,20,26
12

Explanation:

Step1: Calculate the ratios for each option

For similar triangles, the ratios of corresponding side lengths should be equal.
For option A:
\(\frac{28}{14} = 2\), \(\frac{20}{8}=2.5\), since \(2
eq2.5\), option A is incorrect.
For option B:
\(\frac{35}{14} = 2.5\), \(\frac{16}{8}=2\), since \(2.5
eq2\), option B is incorrect.
For option C:
\(\frac{28}{14} = 2\), \(\frac{20}{8}=2.5\), since \(2
eq2.5\), option C is incorrect.
For option D:
\(\frac{35}{14}=\frac{5}{2} = 2.5\), \(\frac{20}{8}=\frac{5}{2}=2.5\), \(\frac{26}{10.4}=\frac{5}{2}=2.5\)

Answer:

D. 35,20,26