Question

Determine whether a tangent is shown in the diagram, Yes or No?

Answer 1

Answer:

No

Step-by-step explanation:

If the line was a tangent, it would be perpendicular to the radius of the circle - hence there would be a 90 angle between them. Therefore we would be able to apply the Pythagorean theorem ($a^2 + b^2=c^2$) to determine the side lengths of a triangle that would be valid. In order for the line to be a tangent so you would say that:

$3^2+9^2=90$

$12^2 = 144$

$90\neq 144$

so this must not be the case.