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Find the Dimensions of the Rectangle of Largest Area That L=9 cmL = 9 \mathrm {~cm}

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Short Answer

Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral triangle of side L=9 cmL = 9 \mathrm {~cm} if one side of the rectangle lies on the base of the triangle.
Round your answer to the nearest tenth.


Definitions:

Two-pedal Systems

A vehicle control system featuring only an accelerator and a brake pedal, eliminating the need for a manual clutch pedal.

UltraShift

An Eaton Fuller two-pedal automated transmission, introduced as a 10-speed ratio but planned for a broader range of ratio options in the near future.

Mercedes AGS

An Automated Gear Shift system developed by Mercedes-Benz for efficient transmission control in their vehicles.

DC Polarity

The direction of flow of direct current (DC) electricity, indicated by a positive (+) and a negative (-) terminal, which affects how electrical devices are connected.

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