Question

he 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 8.7 inches and the length of each side is 10 inches.

A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 10 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 8.7 inches.

Part A: Describe how you can decompose this shape into triangles. (2 points)

Part B: What would be the area of each triangle? (5 points C: Using your answers above, determine the area

Answer 1

@KenichiIvy

Answer 2

Does the figure above look correct?

Answer 3

yes @maxwellsmart

Answer 4

what is the answer i have the same question @sjman1 do u have flvs

Answer 5

There are 6 congruent triangles like the one drawn above.
The area of a triangle is
\(A = \dfrac{bh}{2} \)

We have a base, b, of 10 in., and a height, h, of 8.7 in., so the area of one triangle is

\(A = \dfrac{(10~in.)(8.7~in.)}{2} = 43.5 ~in.^2\)

To find the area of the entire hexagon, multiply the area of the triangle by 6.