Mathematics
Erin0213
8

The triangles are similar. If DE = 24, EF = 42, and AB = 8, find BC. A) 10.5 B) 21  C) 6 D) 14

+0
(1) Answers
lyssie11234

[latex]\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.[/latex]

Add answer