In the given figure QR is a common tangent of the given circle touching at T meets QR at P . If PT = 3.8cm then find the length of QR(in cm)
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Lengths of the tangents drawn from an external point to a circle are equal.
∴QP=PT=3.8cm.. .. .. .. .. .. (i)
PR=PT=3.8cm .. .. .. .. .. .. (ii)
From equations (i) and (ii):
QP=PR=3.8cm
But, QR=QP+PR
∴QR=3.8+3.8
QR=7.6cm
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Step-by-step explanation:
Lengths of the tangents drawn from an external point to a circle are equal.
Lengths of the tangents drawn from an external point to a circle are equal. ∴QP=PT=3.8cm. (i)
(i)PR=PT=3.8cm. (ii)
(ii)From equations (i) and (ii):
(ii)From equations (i) and (ii):QP=PR=3.8cm
(ii)From equations (i) and (ii):QP=PR=3.8cmBut, QR=QP+PR
(ii)From equations (i) and (ii):QP=PR=3.8cmBut, QR=QP+PR∴QR=3.8+3.8
(ii)From equations (i) and (ii):QP=PR=3.8cmBut, QR=QP+PR∴QR=3.8+3.8QR=7.6cm
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