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Okay Satay shmoop er's Another picture for you We got

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a b c d here and one side's five times

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grow to this looks like a square but we don't

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see any of those right angle thing You so we

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can assume it yet let's See what they say the

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figure above the square Ok so what now We can

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assume it with a side of length Five times where

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to what's the length of a d All right Well

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see the problem is special here You sure all problems

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are unique Yes Your all problems are unique snowflakes whose

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parents love them very much But cutting this square in

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half makes two special right triangles So this problem is

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well you know extra special So we just put in

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the forty five degree lines there in a little box

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thing He's there you had partial credit You'd lose Get

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two points for all that Well the ninety degree corners

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are perfectly divided in half by that by sector So

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that splits the angle into two forty five degree angles

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When the angles of a right triangle are forty five

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forty five and ninety the triangle is called Yes a

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special triangle So there we go We've got x and

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then x and x times grow too well The two

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legs are equal courtesy of the two equal angles and

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the high pot news is a screw to two times

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greater than legs Well one of the sides already has

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a square to to there But if we multiply that

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by the square root of to to get a d

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well what happens This happens It looks like this five

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times grow two times Two is five times two or

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just ten So eighty is ten that's it And yes

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we could've used the pythagorean theorem in the beginning and

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just squared all sides and gotten you know square root

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of this five times for two squared plus five from

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room c squared You'll get fifty plus fifty a c

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squared or one hundred and it's road one hundred ten

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Yeah The diagram of the square can't equal the length

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of the side so that sea would have been impossible

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in the length of five times were over too well

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that comes from cutting one of the sides in half

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If you remember the this ratio this acts money maximum

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Ratio for a forty five Forty five Ninety triangle but

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to divide length by expert to instead of multiply well

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then we'd get a diagonal of five as in be

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so that ain't it either So just go with the 00:02:05.21 --> [endTime] war shmoop

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