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

10.4

Explanation:

If you slide the cut left or right so that it is the long leg of a right triangle with short leg 6", you find that right triangle is a 30°-60°-90° triangle. The length of the cut is √3 times the length of the short leg, so is ...

... 6√3 in ≈ 10.3923 in ≈ 10.4 in