Question

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

Answer 1

10.4 centimeters I did the problem my self

Answer 2

Answer

sqrt(108)

6 sqrt(3)

10.3923

I don't know which answer you want.

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