The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 7.8 inches and the length of each side is 9 inches.

A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 9 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 7.8 inches.

Part A: Describe how you can decompose this shape into triangles.

Part B: What would be the area of each triangle?

Part C: Using your answers above, determine the area of the table's surface.

Question

The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 7.8 inches and the length of each side is 9 inches.

A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 9 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 7.8 inches.

Part A: Describe how you can decompose this shape into triangles.

Part B: What would be the area of each triangle?

Part C: Using your answers above, determine the area of the table's surface.

KKqueen1 · Answer

i need help 10 points on the line here

surjithayer · Answer

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surjithayer · Answer

it is a 30,60,90 triangle.
so diagonal is double the smallest side.
diagonal=2*4.5=9
draw a circle with radius as 9 inches. take any point on the circumference.and cut successively 9  inch arcs.
Join adjacent points by st. lines.
we get a regular hexagon.