Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
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<u>Given</u>:
The length of a suitcase is 36 inches.
The diagonal of the suitcase is about 51 inches.
We need to determine the width of the suitcase.
<u>Width of the suitcase:</u>
The width of the suitcase can be determined using the Pythagorean theorem.
Thus, we have;
where d is the diagonal, l is the length and w is the width.
Substituting the values, we get;
Squaring the terms, we have;
Subtracting both sides by 1296, we get;
Taking square root on both sides, we get;
Rounding off to the nearest inch, we get;
Thus, the width of the suitcase is 36 inches.