tolliew
tolliew tolliew
  • 10-01-2018
  • Mathematics
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what is the height of an equilateral triangle with side lengths of 14?

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Astute
Astute Astute
  • 10-01-2018
So it's length would be half of the length of the base [tex] \frac{14}{2} [/tex] = 7 => [tex] 7^{2} [/tex] + [tex] x^{2} [/tex] = [tex] 14^{2} [/tex] => 49 +  = 196 => x^2 = 147 => x = sqrt 147 = 7 * sqrt 3 . So the altitude is equal to 7 * sqrt 3. An approximate value to that would be 12.12

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