All of the triangles in the figure below are congruent. What is the area of the figure? Note that all measurements are in centimeters.Note that the apothem shown is equal to 2 times square root of three.

Question

happykiddo · Answer

24square root of three.cm2
		
24 + 36square root of three.cm2
		
36square root of three.cm2
		
36 + 24square root of three.cm2

alexwee123 · Answer

what figure?

happykiddo · Answer

attachment

alexwee123 · Answer

so find the area of one of the little triangles and multiply that by 6 since there are 6 triangles.

alexwee123 · Answer

then for the hexagon, divide it into 6 equal triangles and find the area of that

alexwee123 · Answer

|dw:1334366991722:dw|

alexwee123 · Answer

then get the area of the hexagon and the area of the 6 triangles outside of the hexagon to get the total area of the figure

alexwee123 · Answer

aand i forgot to say that the 6 triangles in the hexagon are equilateral triangles :)