find the approximate measure of the missing length

Answer:
b= 20.8
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
a= 12
b= ?
c= 24
Equation: 12²+b²=24²
12²= 144
24²= 576
New equation: 144+b²=576
Find b: 576-144=432
[tex]\sqrt432[/tex]= 20.7846097
Round to nearest tenths: 20.8
b= 20.8
Check answer:
144+432=576
Correct!