Step-by-step explanation:
other leg = √[(√113)² - 8²]
other leg = √[113 - 64]
other leg = √49
other leg = 7 cm
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 = 8
b = unknown
c = √113
^^^Plug these numbers into the theorem
[tex]8^{2} +b^{2} =√113^{2}[/tex]
Simplify
64 + b² = 113
solve for x
[tex]b^{2}[/tex] = 49
Take the square root of both sides to cancel out the square from the b:
√b² = √49
b = 7
Hope this helped!
~Just a girl in love with Shawn Mendes
