)In the figure, O is the centre of the circle. Seg OA perpendicular to chord MN, l(AM) = 3cm.
Find l(MN).
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Given : O is the centre of the circle. Seg OA perpendicular to chord MN
AM = 3 cm
To Find : MN length
Solution :
MN = ?
OA ⊥ MN
ΔOAM and Δ OAN
OA = OA common
∠OAM = ∠OAN = 90°
OM = ON = Radius
=> ΔOAM ≅Δ OAN ( RHS)
=> AM = AN
MN = AM + AN
=> MN = AM + AM
=> MN = 2AM
AM = 3 cm
=> MN = 2(3)
=> MN = 6 cm
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