SO MUCH GEOMETRY!!!
A decorative platter is an equilateral triangle with side lengths of 14 inches. What is the height of the platter? Round to the nearest inch.
The height is given by
sqrt( side^2 - (1/2)side^2) =
sqrt ( 14^2 - 7^2) =
sqrt (196 - 49) =
sqrt( 147) = about 12.124 in
We could also use this .....h = sqrt(3) * (1/2)side = [sqrt(3)*7] in
The nearest inch = 12