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Criteria for Congruency of Triangles

In Fig 4, OC ...

Question

In Fig 4, OC is drawn perpendicular from the centre O of the circle to the chord AB. OB =5 cm and OC =3 cm, then the length of the chord AB is

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Solution

Triangle OCB is a right angled triangle.
$C B = \sqrt{5^{2} - 3^{2}} = 4 A B = 2 \times C B = 8 c m$

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