If an equilateral triangle has a height of 8 metres find the length of each side. Round your answer to 2 decimal places.

9.24 m to 2 DP's.

Step-by-step explanation:

Consider the right triangle formed from a side , altitude and 1/2 the base.

By pythagoras:

x^2 = 8^2 + (0.5x)^2     where x is the length of each side.

x^2 - 0.25x^2 = 64

0.75x^2 = 64

x^2 = 64/0.75 =  85.3333.

x = 9.2376 m.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.