greencookiepigs greencookiepigs
  • 02-12-2020
  • Mathematics
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Find the diagonal of the box using the Pythagorean Theorem.

Find the diagonal of the box using the Pythagorean Theorem class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 11-12-2020

Answer:

26 cm

Step-by-step explanation:

Given:

Length = 24 cm

Width = 8 cm

Height = 6 cm

Required:

Diagonal of the box

SOLUTION:

Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,

a, b and c are the dimensions of the box, and d is the length of the diagonal.

Plug in the value into the formula

[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]

[tex] 676 = d^2 [/tex]

[tex] \sqrt{676} = \sqrt{d^2} [/tex]

[tex] 26 = d [/tex]

Length of diagonal of the box = 26 cm

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