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Find the height of an equilateral triangle with sides of length 12

Sagot :

jcherry99

Answer:

Answer

sqrt(108)

6 sqrt(3)

10.3923

I don't know which answer you  want.

Step-by-step explanation:

  • Drop a perpendicular from the top angle to the base.
  • The base is cut into 2 equal parts.
  • Each part is 12/2 = 6
  • The perpendicular, as its name implies, meets the base at 90o.
  • You can use the Pythagorean Theorem to find the height.

h^2 = side^2 - (1/2 b)^2

h^2 = 12^2 - 6^2

h^2 = 144 - 36

h^2 = 108

Take the square root of both sides

h = sqrt(108)

h = sqrt(2*2 * 3 * 3 * 3)

h = 2 * 3 sqrt(3)

h = 6sqrt(3)

h = 6 * 1.7321

h = 10.3923
10.4 centimeters I did the problem my self
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