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Ceva's Theorem

Find the miss...

Question

Find the missing side for the Ceva's theorem, $\frac{A F}{F B} . \frac{B D}{?} . \frac{C E}{E A} = 1$

A

CD

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B

AC

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C

DC

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D

DP

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Solution

The correct option is D DC
Ceva's Theorem is a criterion for the concurrence of cevians in a triangle
$\frac{A F}{F B} . \frac{B D}{?} . \frac{C E}{E A} = 1$

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

The missing side is $D C$ .

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