Respuesta :

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

The given triangle is a 30°-60°-90° triangle. Use the following rule:

[tex]hypotenuse=shorter.leg*2[/tex]

We know the length of the hypotenuse, which is 20. Insert the value:

[tex]20=s*2[/tex]

Solve for s. Divide both sides by 2:

[tex]\frac{20}{2} =\frac{s*2}{2} \\\\10=s[/tex]

The length of the shorter leg is 10. Therefore, the value of x is 10.

:Done

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