capablegh01
capablegh01 capablegh01
  • 09-08-2021
  • Mathematics
contestada

the length of a rectangular box is 8cm. If its diagonal is 10cm. Find its width​

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 09-08-2021

Answer:

Step-by-step explanation:

The diagonal of this rectangular box serves as the hypotenuse of the 2 right triangles that exist within this rectangle. The length is one leg, the hypotenuse is...well, the hypotenuse, so we need to use Pythagorean's Theorem to find the missing leg.

[tex]10^2=8^2+x^2[/tex] and

[tex]100-64=x^2[/tex] and

[tex]x^2=36[/tex] so

x = 6. The width is 6.

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