Pythagoras Theorem Hard Challenging Question

Peter’s ship is delivering IOL medical supplies to point C. It is precisely 6 miles from Branson’s lighthouse. If the distance of the ship is x miles away from point C, and the lighthouse is 3x miles away, how many miles will the ship need to travel to reach point C. Please state your units.

Answer

(3x)² = 6² + x²

9x² = 36 + x²

9x² - x² = 36

8x² = 36

x² = 36 / 8

x = 2.121 miles

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