3 years ago

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

Mathematics

2 answers:

Montano1993 [528]3 years ago

5 0

Answer:

GJ is a tangent

АG is a radius

Step-by-step explanation: maybe

kompoz [17]3 years ago

4 0

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.

<span>By the Pythagorean theorem:
</span>AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.

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