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Alexeev081 [22]
2 years ago
12

Which THREE pairs of measurements are possible side lengths for a 30-60-90 triangle?

Mathematics
1 answer:
9966 [12]2 years ago
4 0

Answer:

1, 5 and 6.

Step-by-step explanation:

The sides of this triangles has lengths in the ratio x : √3x : 2x where 2x is the hypotenuse.

When C = 30,  the side AB is the small leg  (=x).

When B = 90, the hypotenuse is  AC ( =2x).

When A =  60, the larger leg is BC (=√3x).

1.  AB = 4, BC = 4√3 :- Are possible legs.

5 AB = 7, AC = 14. :-  AB = small leg, AC = hypotenuse.

6. AB = 11, BC = 11√3:-   AB = small, BC = larger leg.

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\huge\text{Hey there!}

\rm{-2x + 4 > 8}

\large\textsf{SUBTRACT  4 to BOTH SIDES}

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\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}

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\rm{NEW\  EQUATION: -2x > 4}

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\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}

\mathsf{CANCEL\  out: \dfrac{-2}{-2}\  because\  that\  gives\  you\  1}

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\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}

\rm{\bold{x < -2 }}

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\large\text{Good luck on your assignment and enjoy your day!}

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2 years ago
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2 years ago
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Answer:

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