kimrgray kimrgray
  • 28-12-2018
  • Mathematics
contestada

Find the diagonal (d) of the base

Find the diagonal d of the base class=

Respuesta :

frika
frika frika
  • 28-12-2018

Answer:

[tex]4\sqrt{5}\ un.[/tex]

Step-by-step explanation:

The picture shows rectangular prism with rectangular base and heigth h. The dimenssions of base rectangle are l and w.

The diagonal of reactangle with known length l and width w can be calculated using the Pythagorean theorem:

[tex]d^2=l^2+w^2,\\ \\d^2=8^2+4^2,\\ \\d^2=64+16,\\ \\d^2=80,\\ \\d=4\sqrt{5}\ un.[/tex]  

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