Question

A floor tile is a regular hexagon with 6-inch sides and area of 93.5 square inches. To fit against a wall, one tile must be cut in half as shown below. What is the length of the vertical cut? Round your answer to the nearest tenth.

Answer 1

The length of the vertical cut is 10 cm.

Explanation:

Firstly we will divide our triangle into 6 equilateral triangles by making the 3 diagonals of a hexagon.

and then finding the height of any one of the triangle by using the Pythagorean theorem and hence calculating the vertical length by doubling the calculated height.

Here we are given an hexagon which each side equal to 6 inches.

Hence from the figure we will calculate the length of the side AC using Pythagorean theorem.

since AB=3 in. , BC=6 inches.

Hence,
`BC^2=AC^2+AB^2`

Hence length of AC=5 inches.

hence, the length of the vertical cut is 10 cm.