Math, asked by Anonymous, 5 months ago

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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Answered by Anonymous
3

Answer:

Answer

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

Answered by dbgindracycle78
2

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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