Question 948931
A.) The height of an equilateral triangle forms a right triangle with one side as the hypotenuse and half of one side as a leg. The height is the other leg, so
a is 1/2 length of side =1/2(12 cm)=6cm
b is the height b=h
c is the hypotenuse, one of the sides=12cm
{{{ a^2+b^2=c^2}}}, 
{{{(6 cm)^2+h^2=(12 cm)^2}}}
{{{36 sq cm + h^2=144 sq cm}}} subtract 36 sq cm from each side.
{{{h^2=108 cm}}} Find square root of each side.
h=10.4 cm ANSWER: The height is 10.4 cm. Answer B is correct.

B.) s=length of side; d=diagonal
{{{d=sqrt(2)s}}}
{{{d=sqrt(2)(250 ft)}}}
{{{d=1.414(250 ft)}}}
d=353.6 feet ANSWER: The length of the diagonal is 353.6 feet. Answer A is correct.