Respuesta :

Answer:

[tex]r=43.3\ cm[/tex]

Step-by-step explanation:

we know that

Applying the Pythagorean Theorem in the right triangle drawn with dashed lines

[tex]c^2=r^2+h^2[/tex]

where

c is the hypotenuse (the greater side) r and h are the legs (perpendicular sides)

we have

[tex]c=3(15)=45\ cm\\h=12.2\ cm[/tex]

substitute

[tex]45^2=r^2+12.2^2[/tex]

[tex]r^2=45^2-12.2^2[/tex]

[tex]r^2=1,876.16\\r=43.3\ cm[/tex]

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