O is the centre of the circle of radius 13cm if AC=BC=4root13 then find tha length of the perpendicular from the centre on AC and BC
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Answer:
Perpendicular drawn from centre of a circle to chord bisects the chord.
AC=BC=12cm
And ∠OCB=90
∘
Thus, triangle OCB is a right angled triangle
OB=13cm.
Therefore by Pythagoras theorem
OB
2
=OC
2
+BC
2
OC
2
=OB
2
−BC
2
OC=
13
2
−12
2
OC=5cm
Step-by-step explanation:
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