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MathNet 2009-part-03 — 175 problems (EN–VI) Question 21

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 21

In the coordinate plane $xOy$ the line $4x+3y=n$, $n\gt 0$ is given, which is at distance 12 from the origin. Determine the area of the triangle that the line forms with the coordinate axes.

Question illustration