2 years ago

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

Mathematics

1 answer:

alukav5142 [94]2 years ago

4 0

Answer:

$L=4\sqrt{15}\ m$

$L=15.49\ m$

Step-by-step explanation:

we know that

Applying the Pythagorean Theorem in the rectangular pool

$d^2=L^2+W^2$

where

d is the diagonal of the pool

L is the length of the pool

W is the wide of the pool

we have

$d=16\ m\\W=4\ m$

substitute the given values

$16^2=L^2+4^2$

solve for L

$L^2=16^2-4^2\\L^2=240\\L=\sqrt{240}\ m$

simplify

$L=4\sqrt{15}\ m$

$L=15.49\ m$

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