Respuesta :

The length of swimming course is 345.93 meters.

Step-by-step explanation:

Given,

BC = 80 m

AB = 145 m

Using pythagoras theorem to find AC.

[tex]AC^2+BC^2=AB^2\\AC^2+(80)^2=(145)^2\\AC^2+6400=21025\\AC^2=21025-6400\\AC^2=14625[/tex]

Taking square root on both sides

[tex]\sqrt{AC^2}=\sqrt{14625}\\AC=120.93m[/tex]

Length of swimming course = AB + BC + AC

Length of swimming course = 145 + 80 + 120.93 = 345.93 m

The length of swimming course is 345.93 meters.

Keywords: square root, addition

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