Answer:
9
Step-by-step explanation:
We can answer this problem by using the Pythagorean theorem, which goes as follows:
a² + b² = c²
a & b are the legs (sides adjacent by 90 degrees) and c is the hypotenuse ("longer" side or side across from the 90° angle)
We plug stuff in like this, and then solve:
Formula: a² + b² = c²
Plug in: 10² + b² = [tex]\sqrt{181}[/tex]²
Square root and square cancel each other out: 10² + b² = 181
Square the 10: 100 + b² = 181
Subtract 100 from both sides: b² = 81
Square root of both sides: b = [tex]\sqrt{81}[/tex]
Square root of 81: b = 9
Leaving us with our answer. I hope this helps, have a nice day :)
