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# Pythagorean Theorem

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I really don't know how I would even start solving if you could go into detail that would be great also tysm!

Ms. Chrusch’s front door is 80 cm wide and 200 cm tall. Ms. Chrusch just bought a new circular

kitchen table which is 210 cm in diameter. Will the new kitchen table be able to fit through the

front door?

Mar 15, 2021

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Hey there!

Here I am going to assume that the kitchen table doesnt have legs so that way we dont have to worry about them!

After assuming this, we can find the diagonal of the door opening and compare this to the diameter of the table to see if it will fit through. This is where we can use Pythagoras ($$c=\sqrt{a^2+b^2}$$)! Lets let $$a$$ be the height of the door and $$b$$ the width of the door, then plug it into the formula to get the diagonal $$c$$:

$$a=200$$

$$b=80$$

$$c=\sqrt{200^2+80^2}$$

$$\therefore c\approx215cm$$

Since we know that the diagonal of the door is 215cm, and the table is only 210cm, it is known that the table will infact be able to fit through the front door!

Let me know how this went :)

Mar 15, 2021