1. Pythagorean Theorem
Example

2. My Object…
Picture of my sisters, sister-in-laws and I.

3. Measurements
10.6 inches
7 inches
8 inches
Assumed right angle

4. Pythagorean Theorem Does it work?
a2 + b2 = c2
= c2
= c2
113 = c2
= c
about 10.6 a
113 b c
113 7 8
This is about 10.6 inches.
Yes, the Pythagorean Theorem works!

5. Paragraph Explanation
I chose the picture of my sisters and I for this project because it is one of my favorite pictures. I love spending time with my family and if I had to do this project, I figured I should think about my favorite people while I’m doing it. The lengths of the legs of my photo frame were 7 inches and 8 inches. I substituted 7 in for “a” and 8 in for “b” in the Pythagorean Theorem formula. 7 squared is 49 and 8 squared is 64. Their sum is 113. I tried to square root 113 but it is an irrational number which means that it won’t be a whole number answer. An estimate of the square root of 113 is about This is the length that I obtained when I measured it with my ruler. This means that the Pythagorean Theorem works for right triangles or objects that have a right angle and a diagonal that is drawn or added to it.