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Construct a triangle X Y Z in which /Y...

Construct a triangle `X Y Z` in which `/_Y=30^0,\ /_Z=90^0\ a n d\ \ X Y+Y Z+Z X=11cm`

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Draw a line segment `AB` equal to `11cm`.
Make an angel `/_Y=30^@` from point `A`. Let the angle be `/_LAB`. Make an angle `/_Z=90^@` from point `B`. Let the angle be `/_MBA`.

Bisect `/_LAB` and `/_MBA`/ Let this bisectors intersect at point `X`.

MAke perpendicular bisector of `XA` and `XB` and interset `AB` at `Y` and `Z`.

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