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All right same ash jumpers Here we go Square measures

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twelve units diagonally from corner to corner What is its

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area All right so it's a square We're told that

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and remember the jaggery and they're um they're going to

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create a triangle and then we'll get a squared plus

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b squared c squared We know c square Do we

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know a equals b right So well there's Only one

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measurement we care about when it comes to the area

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of squares It's the length of the squares side right

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Because that's what gives us the area label side length

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x and the dagnall square is the high pot news

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of an exhaust elise right triangle with both legs of

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length x so we can use the pythagorean theorem here

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to find axe And we've got you know x squared

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plus x squared is well twelve squared right A squared

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plus b squared is inscribed Just simplify both sides We

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had two ex words one forty four and divide out

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two and we've got that seventy two So we want

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the square root of seventeen to here right Well no

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need to worry about that If we had acts while

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we would just square it again So the area of

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the square is x squared which we've discovered is seventy

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two Right square to seventy two squared is seventy two

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least in texas So the square has an area of

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seventy two square units The answer is a and war 00:01:18.943 --> [endTime] shmoop Oh

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