Answer:
[tex]\sqrt{259}[/tex] or approximately 16.09
Step-by-step explanation:
Using the pythagorean theorem, the formula would be [tex]a^{2} + b^{2} = c^{2}[/tex]
insert 15 into a and 22 into c.
you will get [tex]15^{2} + b^{2} = 22^{2}[/tex]
That simplifies into 225 + [tex]b^{2}[/tex] = 484
subtract the 225 from 484 to isolate the variable
then you will get [tex]b^{2}[/tex] = 259
square root both sides to get rid of the square: [tex]\sqrt b^{2}[/tex] = [tex]\sqrt{259}[/tex]
if you want the decimal version, fully square root the number and you will get approximately 16.09 (rounded to the nearest hundredth)
