Math, asked by asifafrinpb8qci, 1 year ago

tangents PA and PB are drawn from an external point P to the two concentric circles with Centre O and radius 8 cm and 5 cm respectively as shown in the figure if AP equal to 15 CM then find the length of BP

Answers

Answered by shashikushram1980

AP = BP = 15 cm

Tangent from same external point are equal

shashikushram1980: is the digram given

shashikushram1980: Given ,AP and BP are tangent from the external point p

shashikushram1980: Join OA ,OP,OB

shashikushram1980: In tri.AOP and tri.BOP

shashikushram1980: OA=OB(radius of the same circle )

shashikushram1980: OP=OP(Common)

shashikushram1980: Angle OAP= Angle OBP (each 90degree)

shashikushram1980: Tri. AOP congruent to tri BOP (by RHS )

shashikushram1980: AP = BP ( By CPCT)

shashikushram1980: So AP=BP= 15 cm

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