Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.