Activity # 15

Tile Design

You have been hired by a manufacturer of floor tiles to design a new tile. The manufacturer is interested in a very linear, angular type of design. Therefore, you must design it with the following constraints:

1. You may use horizontal and vertical lines.

2. You must use two or three different right triangles in your design. (i.e. different sizes/angle measures).

The manufacturer will need the lengths of all sides of the right triangles, as

well as any vertical or horizontal lines you include, and the angle measures of all of the right triangles. You do not have to calculate the lengths of sides or angles of triangles formed by overlapping right triangles. You are to make the tile 6” x 6” and as aesthetically pleasing as possible! So, be creative and have fun! Your final product must include the following:

a. A picture of your tile drawn to scale and in color.

b. A picture of the floor pattern with several tiles drawn together – with an appropriate scale given.

c. A drawing of your tile, with all calculated sides and angles labeled.

d. The mathematical calculation of your sides and angles using the Pythagorean Theorem and trigonometry.

Below is an example of an appropriate tile design: