Apply Ceva's theorem and find the value of $x$ .

120

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240

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360

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480

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Solution

The correct option is B 240
Applying Ceva's theorem, $\frac{A F}{F B} . \frac{B D}{D C} . \frac{C E}{E A} = 1$
$\Rightarrow \frac{A F}{F B} . \frac{B D}{D C} . \frac{C E}{E A} = 1$ $\Rightarrow \frac{20}{10} . \frac{30}{x} . \frac{40}{10} = 1$
$\Rightarrow \frac{240}{x} = 1$ $\Rightarrow x = 240$

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Similar questions

y

A F

\frac{A F}{F B} . \frac{B D}{D C} . \frac{C E}{X} = 1

\frac{A F}{X} . \frac{B D}{D C} . \frac{C E}{E A} = 1

\frac{A F}{F B} . \frac{X}{D C} . \frac{C E}{E A} = 1

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