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Sagot :

atashinchiii

Step-by-step explanation:

YELLOW TRIANGLE:

[tex] \sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6[/tex]

PURPLE TRIANGLE:

Since one of the angle is 45°, x = BC = 6

To prove:

[tex] \tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6[/tex]

PINK TRIANGLE:

[tex] \tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3} [/tex]

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