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CBSE Class 9 Answered

A circle has radius root 2 cm. it is diveded into two segments by a chord of length 2 cm.prove that the angle subtended by thechord at a point in major segment is 45 degree.
Asked by Snehal Ambekar | 12 Mar, 2016, 06:30: PM
answered-by-expert Expert Answer
begin mathsize 12px style Chord space is space bisected space by space perpendicular space from space centre. space So space joining space the space ends space of space the space chord space to space the space centre space gives space two space right space angled space triangles. Length space of space perpendicular equals square root of 2 minus 1 squared end root equals 1 Hence comma space we space get space isosceles space right space angled space triangles. So space the space angle space subtended space by space the space chord space at space centre equals 45 cross times 2 equals 90 degree Hence comma space angle space subtended space by space the space choird space at space straight a space space point space in space major space segment equals 1 half cross times 90 equals 45 degree end style
Answered by satyajit samal | 14 Mar, 2016, 03:09: PM

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