Answer:
6.93 inches
Step-by-step explanation:
To calculate the missing side of right triangles, use the Pythagorean Theorem.
[tex]a^{2} + b^{2} = c^{2}[/tex]
"a" and "b" represent the legs, while "c" represents the hypotenuse.
Substitute in known values
[tex]a^{2} + 11^{2} = 13^{2}[/tex]
Calculate the exponents
[tex]a^{2} + 121 = 169[/tex]
Subtract 121 from both sides of the equation
[tex]a^{2} = 48[/tex]
[tex]a = 4\sqrt{3}[/tex]
As a decimal, [tex]4\sqrt{3}[/tex] = 6.93 inches
Let me know if there is anything you would like me to explain further
Hope this helps :)
