Respuesta :

the radius going through the tangent point is perpendicular to the tangent line, so ΔQRT is a right triangle. 
QT²=QR²+RT²
QR and QS are both radii, so QR=QS=15
QT²=15²+36²
QT=39

The length of QT is 39.

In the figure, QS = 15, RT = 36, and RT is tangent to radius QR.

What is the tangent radius theorem?

The radius of a circle is perpendicular to the tangent line through its endpoint on the circle's circumference

Therefore, ΔQRT is a right triangle.

Bye using Pythagoras theorem

QT²=QR²+RT²

QR and QS are both radii, so QR=QS=15

QT²=15²+36²

QT=39

We get the length of QT is 39.

To learn more about the length of side visit:

https://brainly.com/question/19061519

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