# Pythagorean Theorem Project

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• Thanks for coming over today Chloe!﻿ I want to redecorate my room, and the first thing I want to do is make a  shelf underneath the stairs that lead to my bed. Can you help me figure out the ammount of space I need to remove from the side of my stairs?
• Actually, I can help you! You can use the Pythagorean Theorem, which is a2  +  b2  =  c2       ﻿ to figure it out since it is in a triangle shape.
• Oh yeah! I remember learning about the Pythagorean Theorem at school! The heighth of the area is 32 in. and the length of the bottom is 28 in.
• Okay, so take 32 and square it, and 28 and square it, which would be 1,024 and 784. ﻿
•  Then, add 1,024 to 784, and you get 1,808. Since that makes C2﻿, you need to figure out C, so you need to square root 1,808. If you do that, you get 42.52.
• ﻿Of course! I can't wait to see what it looks like when it's done! Let me know if you need help with anything else!
• ﻿Thank you so much Chloe! I understand now and I think my shelf will look so good thanks to you!
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