Question 151
XY and XZ are tangents to a circle, ST is another tangent to the circle at the point R on the circle, which intersects XY and XZ at S and T respectively. If XY = 15 cm and TX = 9 cm, then RT is
Solution
Given : XY = 15 and XT = 9
To find : RT = ?
Solution : Here, XY and XZ are tangents from the same point, so they must be equal.
=> XZ = XY = 15
Also, ZT = XZ - XT = 15-9
=> ZT = 6 cm
Now, ZT and RT are tangents from the same point, so they are also equal.
=> ZT = RT = 6 cm
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