Question

true or false the area of a regular hexagon can be found by breaking the hexagon into 6 congruent triangles and then taking the sum of their areas

Answer 1

False - following the formula to find sum of all interior angles, $180(n-2)$, with n representing the number of sides, we can see that for a hexagon there's a sum of $180(6-2)=720$ degrees. Then, if we broke it into 6 congruent triangles, we can see that 720/6 = 120, which is not the sum of the interior angles of a triangle.

Answer 2

True. Because the you will get all the areas of those 6 congruent triangles equally and so summing up them will give you the area of the hexagon.