Respuesta :

Answer:

b=5

Step-by-step explanation:

pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]  where c is the hypotenuse.

In this case, we know a and c, so we have to solve for b:

[tex]12^2+b^2=13^2\\=> 144+b^2=169\\=> b^2=169-144=25\\=> b=5[/tex]

To answer this question you must use Pythagorean theorem

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

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 12

b = unknown

c = 13

^^^Plug these numbers into the theorem

[tex]12^{2} +b^{2} =13^{2}[/tex]

solve for b

[tex]b^{2}[/tex] + 144 = 169

[tex]b^{2}[/tex] = 25

To remove the square from b take the square root of both sides to get you...

b = 5

Hope this helped!

~Just a girl in love with Shawn Mendes

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