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Diameter of a circle is 26cm and length of the chord of the circle is 24cm .Find the distant of the chord from the centre
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d=26c.m.
r=13c.m. if we draw a hieght to the cord from the center than the cord divided into two parts which are equal
let AB is the chord
and the height touches the chord at point X
than AX = BX
AX=24/2=12cm
OA is the radius which is equal to 13cm
in triangle OAX,measure of OXA =90degree
and OA is the hypotenus(h)
AX and OX are touching the right angle v so the are p and b
as to Pythagorean theorem,h^2=p^2+ b^2
OA^2=Ax^2+OX^2
13^2=12^2+OX^2
169= 144+ OX ^2
169-144=OX ^2
25=0X^2
OX =√25
hope it helps
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