Answer:
The length of the missing leg is 22.20.
Step-by-step explanation:
You can use the Pythagorean theorem to solve for the length of the missing leg:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where a and b are the lengths of the legs and c is the length of the hypotenuse.
First, substitute the lengths of the given values:
[tex]6^{2}[/tex] + [tex]b^{2}[/tex] = [tex]23^{2}[/tex]
Next, simplify the exponents on both sides:
36 + [tex]b^{2}[/tex] = 529
Then, isolate b by subtracting 36 from both sides:
[tex]b^{2}[/tex] = 493
Next, take the square root of both sides:
b = [tex]\sqrt{493}[/tex]
Finally, take the square root and round according to the given directions:
b = 22.20
