MathematicsIn the below figure, PQ is the common tangent to both the circles. SR and PT are tangents. If SR=4 cm and PT=7 cm, then find the length of RP.

In the below figure, PQ is the common tangent to both the circles. SR and PT are tangents. If $S R = 4 cm$ and $P T = 7 cm,$ then find the length of RP.

A
$3 cm$
B
$4 cm$
C
$5 cm$
D
$9 cm$

Solution:

Given,
length of SR=

4 cm

PT = 7 cm

.
If two tangents are drawn from a common point outside the circle then the lengths of the circle are equal.
According to the given condition, we have

We have,

Hence, length of