Question : If $ riangle A B C \sim riangle E D F$ such that $AB=6$ cm, $DF=16$ cm, and $DE=8$ cm, then the length of $BC$ is:
Option 1: 12 cm
Option 2: 10 cm
Option 3: 14 cm
Option 4: 8 cm

Question

Question : If $ riangle A B C \sim riangle E D F$ such that $AB=6$ cm, $DF=16$ cm, and $DE=8$ cm, then the length of $BC$ is:

Option 1: 12 cm

Option 2: 10 cm

Option 3: 14 cm

Option 4: 8 cm

Team Careers360 · Accepted Answer

Correct Answer: 12 cm

Solution : Given, $ riangle A B C \sim riangle E D F$ such that $AB=6$ cm, $DF=16$ cm and $DE=8$ cm
As $ riangle ABC$ ~ $ riangle EDF$
⇒ $\frac{AB}{DE} = \frac{BC}{DF}$
⇒ $\frac{6}{8} = \frac{BC}{16}$
$ herefore BC= 12$ cm
Hence, the correct answer is 12 cm.

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Question : If △ABC∼△EDF such that AB=6 cm, DF=16 cm, and DE=8 cm, then the length of BC is:Option 1: 12 cmOption 2: 10 cmOption 3: 14 cmOption 4: 8 cm

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Question : If $△ A B C \sim △ E D F$ such that $A B = 6$ cm, $D F = 16$ cm, and $D E = 8$ cm, then the length of $B C$ is:
Option 1: 12 cm
Option 2: 10 cm
Option 3: 14 cm
Option 4: 8 cm