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`