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In ∆ BPO and ∆ BQO,
OB = OB (Common sides)
OP =OQ. (Radius )
angle BPO = angle BQO. (both 90°)
then ,
∆ BPO is congruent to∆ BQO. (RHS)
BP = BQ. (CPCT)
BQ = 8 cm
Similarly
∆BQO is congruent to ∆ CQO,
BQ = QC
QC = 8cm
BC = QC + BQ
BC = 8 + 8 = 16cm
Similarly,
∆ CQO and ∆ COR are congruent,
CQ = CR. (CPCT)
CR = 8cm.
In ∆ APO and ∆ ARO,
AO = AO. (Common)
angle P = angle R. (each 90°)
PO = RO. ( Radius)
then ,
∆ APO is congruent to ∆ ARO
AP = AR. (CPCT)
AR = 6 cm
And,
AC = AR + RC = 6 + 8 = 14 cm
AC = 14 cm
hope it will help you...
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