see this picture guys,,can anyone answer please...
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Anonymous:
hi
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The answer is 15/2cm
Or 7.5cm
Or 7.5cm
how can u tell me?? plz explain... plz
Is my answer correct?
actually I also don't know.... the answer is not given
Okay
Use the property of tangents
And then apply the semi perimeter formula
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Solution :-
Please refer to the attachment for diagram.
Given that AQ, AP and BC are tangents to a circle with center O and AB = 5 cm, AC = 6 cm and BC = 4 cm.
Let BS = x cm then, CS = (4 - x) cm
As we know that tangents from an exterior point of a circle are equal in length.
⇒ AP = AQ
⇒ AB + BP = AC + CQ .........(1)
BP = BS and CQ = CS .........(2)
From (1) and (2), we get
AB + BS = AC + CS
⇒ 5 + x = 6 + (4 - x)
⇒ x + x = 6 + 4 - 5
⇒ 2x = 5
⇒ x = 5/2
⇒ x = 2.5 cm
Hence, AP = AB + BP = AB + BS
⇒ = 5 cm + 2.5 cm
= 7.5 cm
So, option (A) is correct.
Answer.
Please refer to the attachment for diagram.
Given that AQ, AP and BC are tangents to a circle with center O and AB = 5 cm, AC = 6 cm and BC = 4 cm.
Let BS = x cm then, CS = (4 - x) cm
As we know that tangents from an exterior point of a circle are equal in length.
⇒ AP = AQ
⇒ AB + BP = AC + CQ .........(1)
BP = BS and CQ = CS .........(2)
From (1) and (2), we get
AB + BS = AC + CS
⇒ 5 + x = 6 + (4 - x)
⇒ x + x = 6 + 4 - 5
⇒ 2x = 5
⇒ x = 5/2
⇒ x = 2.5 cm
Hence, AP = AB + BP = AB + BS
⇒ = 5 cm + 2.5 cm
= 7.5 cm
So, option (A) is correct.
Answer.
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