To complete the proof, each group of students was given a small triangle with sides measuring 3 units, 4 units, and 5 units and 9 Starbursts of one color, 16 of a different color, and 25 of a third color. Students then had to use all of these materials and the famous equation a2 + b2 = c2 to prove that this works for the right triangle given to them.
Students tested many creative theories and one-by-one formed a square with each of the colors and discovered that the sides of each of the squares coincided with the sides of the right triangle provided. This was only the first step, however, students then had to prove that if they combined the two smaller squares (a2 + b2), they would end up with a larger square that was the same size as the square corresponding to the longest side of the triangle (c2). Thus proving that a2 + b2 = c2 does in fact work for all right triangles. The students did an amazing job collaborating, trying new ideas, and persevering through this challenge! -Mrs. Mack
**a2(squared) + b2 (squared) = c2 (squared)-math symbols were not recognized on the blog!**