Consider the figure given below where $△ A B C$ and $△ D E F$ are similar. Find the length of the missing side x.

$\frac{1}{9}$

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$\frac{1}{36}$

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Solution

The correct option is B
9

Since the triangles are similar, the sides will be proportional . Thus,

$\frac{B C}{E F} = \frac{A C}{D F}$

i.e., $\frac{6}{18} = \frac{3}{x}$

$⟹ x = \frac{3 \times 18}{6} = 9$ units

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Consider the figure given below where △ABC and △DEF are similar. Find the length of the missing side x.

The correct option is B 9 Since the triangles are similar, the sides will be proportional . Thus, BCEF=ACDF i.e., 618=3x ⟹x=3×186=9 units

Consider the figure given below where $△ A B C$ and $△ D E F$ are similar. Find the length of the missing side x.

The correct option is B
9

Since the triangles are similar, the sides will be proportional . Thus,

$\frac{B C}{E F} = \frac{A C}{D F}$

i.e., $\frac{6}{18} = \frac{3}{x}$

$⟹ x = \frac{3 \times 18}{6} = 9$ units