Pythagorean Puzzles - Page 3

Triangular dot paper is also called isometric dot paper. If you draw line segments connecting adjacent dots, then equilateral triangles are formed. On isometric dot paper, one area unit is equal to the area of one equilateral triangle. One linear unit is equal to the length of a side of the triangle, or

On isometric dot paper, construct each set of polygons on the sides of the right triangles shown. Then find the areas of the polygons and record the data in the table.

Figure area on shorter leg area on longer leg area on hypotenuse H I

11. What do you notice about the relationship among the areas of the polygons constructed? __________________________________________________________________

12. Does the same relationship hold fro constructing polygons on the slides of a right triangle using quare dot paper and isometric paper? Explain. ___________________________________________________________________ ___________________________________________________________________

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