jannhauusj jannhauusj
  • 18-04-2020
  • Mathematics
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determine whether a tangent is shown in the diagram, Yes or No?

determine whether a tangent is shown in the diagram Yes or No class=

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rainestormee
rainestormee rainestormee
  • 18-04-2020

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 ([tex]a^2 + b^2=c^2[/tex]) 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:

[tex]3^2+9^2=90[/tex]

[tex]12^2 = 144[/tex]

[tex]90\neq 144[/tex]

so this must not be the case.

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