MATH 113: Right or Not? (Activity 7)

This worksheet explores the Pythagorean theorem and properties of triangles. It is based on Activity 7 from Chapter 10 of Mathematics Activities for Elementary Teachers by Dolan, Williamson and Muri.

Work individually or in pairs. Each student should hand in a worksheet, which will be graded as a quiz.

  1. Cut out the squares outlined on the graph paper provided. Mark each square with its area and list the areas below:



Arrange three squares as shown in the picture on the right. Record the areas of the largest and smallest squares in the arrangement in the table below. Then record the area of the third triangle, the sum of the areas of the smallest and third squares, and whether the triangle enclosed by the squares is acute, right or obtuse.

Area of Largest Square Area of Smallest Square Area of Third Square Sum of Areas of Small and Third Squares Acute, Right or Obtuse?

  1. What patterns do you notice in the table? Answer on the back of this page.
Bonus: How many rows would the table need to have to cover all combinations of the squares you were given?