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Nikitich [7]
2 years ago
7

What is the height, x, of the equilateral triangle?

Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. h = 7\sqrt{3} inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

h^2 = l_1^2 + l_2^2

For this problem, we have that:

  • The height is one side of the triangle.
  • The other side is half the length, of 7 in.
  • The hypotenuse is the length, of 14 in.

Hence the height is found as follows:

h^2 + 7^2 = 14^2

h = \sqrt{147}

h = \sqrt{49 \times 3}

h = 7\sqrt{3} inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

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__________________________________________
Explanation:
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Write the expression; which is an equation, as follows:
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     " 4x <span>− 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .
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Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;
</span>___________________________________________
Rewrite as:  " 4x <span>− 12 = -2x " ;
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     →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

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           to get:    6x  = 12  ;
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 Now, divide each side of the equation by "6" ; 
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Let us check our answer, by plugging in "2" for "x" in our original equation:
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Answer:

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Step-by-step explanation:

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4 0
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