Question

Line TP is tangent to circle R. If PT = 36 cm and RS = 15 cm, what is RT?

Answer 1

Its 39. √(15^2+36^2)

Answer 2

the picture in the attached figure

we know that

PT is tangent to the circle, so ∠RPT is a right angle.

RT is the hypotenuse of a right triangle.

RP=RS ---------> is the radius of the circle

$RP=15cm$

By the Pythagorean Theorem

$RT^{2} =PT^{2} +RP^{2} \\ RT^{2} =36^{2} +15^{2} \\ RT^{2} =1,521\\ RT=39cm$

therefore

the answer is

$RT=39 cm$