Respuesta :

wegnerkolmp2741o

using the pythagorean theorem

a^2+b^2 = c^2   where c is the hypotenuse

9^2 +12^2 = x^2

81 + 144 = x^2

225 = x^2

taking the square root of each side

sqrt(225) = x

15 =x

x = 15 inches

apologiabiology

das is part of a proof of pythagorean theorem


for a right triangle (has one interior angle as 90 degrees)

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

a and b are the lengths of the legs and c=length of hypotnuse (side oposite right angle)


we see that the lengths of the legs are 9in and 12in

a=9 and b=12 (or a=12 and b=9, doesn't matter)

we want to find c, or x in this case

so

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

[tex]9^2+12^2=x^2[/tex]

[tex]81+144=x^2[/tex]

[tex]225=x^2[/tex]

[tex]15=x[/tex]

x=15in

answer is 15 inches

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