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Properties of 30°-60°-90° Triangles

Find the valu...

Question

Find the value of $A F$ . (Use Ceva's theorem)

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is A 1
Applying Ceva's theorem, $\frac{A F}{F B} . \frac{B D}{D C} . \frac{C E}{E A} = 1$
$\frac{A F}{F B} . \frac{B D}{D C} . \frac{C E}{E A} = 1$
$\frac{A F}{4} . \frac{8}{2} . \frac{2}{2} = 1$
$A F = 1$

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