Answer:
8cm
Explanation:
Tangents drawn to a circle from an external point are equal.
∴AP=AR=7cm
CQ=CR=5cm
Now, BP=AB−AP=10−7=3cm
∴BP=BQ=3cm
∴BC=BQ+QC=3+5=8cm
∴ the length of BC is 8cm
We have :-
AR = AQ, BR = BP & CP = CQ {PAIR OF TANGENTS}
According to queation :-
AB = AR + BR = 7 cm.
So :- BR = 7 - AR
=> BP = 7 - AR (as BR = BP) ---------(i)
Also :-
CQ = 5 cm.
So :- CP = 5 cm. (as CQ = CP) ----------(ii)
ADDING EQUATION (i) & (ii) WE GET :-
BP + CP = 7 - AR +5 = 12 - AR
=> BC = 12 - AR {ANSWER !!!}
FOR SOME REASON THIS QUESTION SEEMS TO BE INCOMPLETE !!!
LIKE AB IS SUPPOSE TO BE 7 cm. & not 7 m.
ANYWAYS......HAVE A GREAT DAY :)
HOPE YOU GET THE ANSWER :)
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
8cm
Explanation:
Tangents drawn to a circle from an external point are equal.
∴AP=AR=7cm
CQ=CR=5cm
Now, BP=AB−AP=10−7=3cm
∴BP=BQ=3cm
∴BC=BQ+QC=3+5=8cm
∴ the length of BC is 8cm
Verified answer
We have :-
AR = AQ, BR = BP & CP = CQ {PAIR OF TANGENTS}
According to queation :-
AB = AR + BR = 7 cm.
So :- BR = 7 - AR
=> BP = 7 - AR (as BR = BP) ---------(i)
Also :-
CQ = 5 cm.
So :- CP = 5 cm. (as CQ = CP) ----------(ii)
ADDING EQUATION (i) & (ii) WE GET :-
BP + CP = 7 - AR +5 = 12 - AR
=> BC = 12 - AR {ANSWER !!!}
FOR SOME REASON THIS QUESTION SEEMS TO BE INCOMPLETE !!!
LIKE AB IS SUPPOSE TO BE 7 cm. & not 7 m.
ANYWAYS......HAVE A GREAT DAY :)
HOPE YOU GET THE ANSWER :)