I Have Questions. You've Got The Answers 2

In $\triangle ABC$, the segments$AD$ and $DE$ trisect $BAC$. Moreover, it is also known that

$AB = 6, AE = 2.7, AC = 3.8$ and $DE = 1.8$

The length of $BC$ is closest to which of the following?

$a. 8.0$ $b. 8.2$ $c. 8.4$ $d. 8.6$ $e. 8.8$

#Geometry

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$