Abbot Tools is designing a new toolbox. The length of the toolbox will be three times its width, w, and the length of the diagon al of the top cover will be 30 inches.
Use this information to determine the length, l, of the box. Select the correct answer from the drop-down menu.
1 answer:
The length and width of the toolbox given the diagonal is 45 inches and 15 inches respectively.
<h3>Triangle</h3>
Width of the triangle = w Length of the triangle = 3w Diagonal = 30 inches
Hypotenuse ² = opposite ² + adjacent ²
30² = w² + (3w²)
30² = 4w²
900 = 4w²
w² = 900/4
= 225
w = √225
w = 15
Therefore,
Width of the triangle = w
= 15 inches
Length of the triangle = 3w
= 3(15)
= 45 inches
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