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Abbot Tools is designing a new toolbox. The length of the toolbox will be three times its width, w, and the length of the diagonal 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.

Abbot Tools is designing a new toolbox The length of the toolbox will be three times its width w and the length of the diagonal of the top cover will be 30 inch class=

Respuesta :

adioabiola

The length and width of the toolbox given the diagonal is 45 inches and 15 inches respectively.

Triangle

  • 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

Learn more about triangles:

https://brainly.com/question/24382052

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