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Line GJ is tangent to point A at point G. If AG = 9 and GJ = 12, find AJ.
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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.-example-1
User Berlinguyinca
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7.4k points

2 Answers

4 votes

Answer:

GJ is a tangent

АG is a radius

Step-by-step explanation: maybe

User Mohamed Ben HEnda
by
8.0k points
7 votes
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.
User Rodolph
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7.4k points
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