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Mars2501 [29]
2 years ago
11

The triangles are similar. If DE = 24, EF = 42, and AB = 8, find BC.

Mathematics
1 answer:
Nastasia [14]2 years ago
7 0
\Delta ABC\sim\Delta DE F\\\\\frac{|EF|}{|DE|}=\frac{|BC|}{|AB|}\\\\substitute:\\\\\frac{|BC|}{8}=\frac{42}{24}\\\\\frac{|BC|}{8}=\frac{7}{4}\ \ \ \ /\cdot8\\\\|BC|=7\cdot2\\\\|BC|=14\\\\\\Answer:D.
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