WindsorLynne
WindsorLynne WindsorLynne
  • 02-08-2017
  • Mathematics
contestada

Line GJ is tangent to point A at point G.

If AG = 9 and GJ = 12, find AJ.

Line GJ is tangent to point A at point G If AG 9 and GJ 12 find AJ class=

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Banabanana
Banabanana Banabanana
  • 02-08-2017
GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point   ⇒ m∠АGJ = 90°  ⇒ ΔАGJ is the right triangle.

By the Pythagorean theorem:
AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.
Answer Link
nelliemellow
nelliemellow nelliemellow
  • 31-03-2020

Answer:

GJ is a tangent

АG is a radius

Step-by-step explanation: maybe

Answer Link

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