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Find the approximate length of the leg of a right triangle with one leg length 8 and hypotenuse length 19.

Respuesta :

I hope this helps you



Pythagorean :

hypotenuse^2= base^2+height ^2


19^2=8^2+height ^2


height^2=(19-8)(19+8)


height ^2=11.27


height ~17,74

Answer:

Step-by-step explanation:

one length of the leg is a =8

hypotenuse ,c= 19

we need to find the length of the other leg b.

since it is a right triangle so using the pythagorean

[tex]a^2+b^2=c^2[/tex]

plugging the known values we get

[tex]8^2+b^2=(19)^2[/tex]

[tex]64+b^2=361\\b^2=361-64\\b^2=297[/tex]

so [tex]b=3\sqrt{33}[/tex]