Question

Is KJ tangent to circle P? Circle yes or no and use the Pythagorean Theorem to justify your answer.

Answer 1

Okay, here we have this:

Considering the provided circle, we are going to identify if KJ is tangent to circle P, so we obtain the following:

So let's remember that if the line is tangent to the circle it will fulfill the Pythagorean theorem, that is, the sum of the square of the legs will be equal to the square of the hypotenuse, then we have:

9^2+6^2=(6+4)^2

81+36=(10)^2

81+36=100

117=100

Since the Pythagorean theorem does not hold then it implies that the line KJ is not tangent to the circle P.