example. picture of my sisters, sister-in-laws and i. my object…
TRANSCRIPT
![Page 1: Example. Picture of my sisters, sister-in-laws and I. My Object…](https://reader035.vdocument.in/reader035/viewer/2022062803/56649f525503460f94c7688c/html5/thumbnails/1.jpg)
Pythagorean Theorem
Example
![Page 2: Example. Picture of my sisters, sister-in-laws and I. My Object…](https://reader035.vdocument.in/reader035/viewer/2022062803/56649f525503460f94c7688c/html5/thumbnails/2.jpg)
Picture of my sisters, sister-in-laws and I.
My Object…
![Page 3: Example. Picture of my sisters, sister-in-laws and I. My Object…](https://reader035.vdocument.in/reader035/viewer/2022062803/56649f525503460f94c7688c/html5/thumbnails/3.jpg)
Measurements
7 inches
8 inches
Assumed right angle
10.6 inches
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a2 + b2 = c2
72 + 82 = c2
49 + 64 = c2
113 = c2
= c about 10.6
Pythagorean TheoremDoes it work?
√113b
a
c
This is about 10.6 inches. Yes, the Pythagorean Theorem works!
7
8
√113
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I chose the picture of my sisters and I for this project because it is one of my favorites. 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 10.6. 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.
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