i have following question suppose we have some AB length and have turned it by 90 angle about some arbitrary o point lies on the AB length.after turning AB maps some A'B' length.we should find distances between A and B' if AA'=4 and BB'=10 please help
right angle turn
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geometry
1 Answers
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If you rotate the length around a point $O$ on $AB$, then distances are preserved, so A'O=AO and B'O=BO. So \triangle AOA' and \triangle BOB' are isosceles right triangles. If BB'=10, then the legs of \triangle BOB' have length $10/\sqrt{2}$, and similarly the legs of \triangle AOA' have length $4/\sqrt{2}$. So you then have the length of the legs of \triangle AOB', and you can use the pythagorean theorem to find the distance AB'.
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0Glad to help. ${}$ – 2011-05-29