Question

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

Answer 1

No

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\\eq 144`

so this must not be the case.