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WILL GIVE BRAINLIEST IF CORRECT ANSWER!!!!

The triangle below is equilateral. Find the length of side x to the nearest tenth.

WILL GIVE BRAINLIEST IF CORRECT ANSWER The triangle below is equilateral Find the length of side x to the nearest tenth class=

Respuesta :

Answer:

that is an equilateral triangle and if one side is 3.46 rounded it is 3.5

Step-by-step explanation:

3.5 because rounding found out by square root of 12

Answer:

x = 4[tex]\sqrt{3}[/tex] = 6.9

Step-by-step explanation:

if the large triangle is equilateral then each angle is 60°

but the altitude creates two smaller triangles that measure 30-60-90°

the ratio of sides, respectively, is 1 : [tex]\sqrt{2}[/tex] : 2

we can create a proportion to find 'x':

x/2 = [tex]\sqrt{12}[/tex]/1

cross-multiply:

x = 2[tex]\sqrt{12}[/tex]

since [tex]\sqrt{12}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

so 'x' = 2·2[tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

therefore, we can see that the side opposite the 30° angle is half the hypotenuse

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