Needhelp000
Needhelp000 Needhelp000
  • 13-03-2020
  • Mathematics
contestada

If a pool is 4 m wide and 16 m diagonally across, how long is the pool? (Pyth. Theorem)

Respuesta :

calculista
calculista calculista
  • 21-03-2020

Answer:

[tex]L=4\sqrt{15}\ m[/tex]

or

[tex]L=15.49\ m[/tex]

Step-by-step explanation:

we know that

Applying the Pythagorean Theorem in the rectangular pool

[tex]d^2=L^2+W^2[/tex]

where

d is the diagonal of the pool

L is the length of the pool

W is the wide of the pool

we have

[tex]d=16\ m\\W=4\ m[/tex]

substitute the given values

[tex]16^2=L^2+4^2[/tex]

solve for L

[tex]L^2=16^2-4^2\\L^2=240\\L=\sqrt{240}\ m[/tex]

simplify

[tex]L=4\sqrt{15}\ m[/tex]

or

[tex]L=15.49\ m[/tex]

Answer Link

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