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CBSE Class 9 Answered

An isosceles triangle is inscribed in a circle. If AB=AC=12root5 cm and BC=24 cm, find the radius of the circle 
Asked by adityaahuja099 | 02 Dec, 2017, 09:26: AM
answered-by-expert Expert Answer
begin mathsize 16px style Triangle space is space inside space the space circle
so space in space increment ABC
AB equals AC equals 12 square root of 5
BC equals 24 space cm space
in space isoceles space increment space perpendicular space bisector space and space altitude space coincides
increment ABD
AB equals 12 square root of 5
BD equals 12 space cm bold space
apply space pythagoras space to space find space AD
increment BOD
BO squared equals BD squared plus OD squared
BO equals straight r
OD equals AD minus straight r
sub space and space find space ans



end style
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begin mathsize 12px style Two space chords space AB space and space AC space of space straight a space circle space are space equal. space Prove space that space the space centre space of space the space circle space lies space on space the space angl e space bisector space of space angle BAC. end style
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