Use the Pythagorean theorem to find b.
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