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SAS Similarity

The triangles...

Question

The triangles $△ A B C$ & $△ E B D$ are similar by $S A S$ test. Find $B D .$

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Solution

The correct option is A $8$
In $△ A B C$ & $△ E B D$ ( $S A S$ similarly condition)

$\frac{B C}{B D} = \frac{A B}{B E} = \frac{9}{B D} = \frac{27}{24}$

$B D = \frac{9 \times 24}{27} = B D = 8$

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