Answer:
Square root 112 units
Step-by-step explanation:
What's Pythagorean Theorem?
- Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the other legs.
- It's represented as [tex]a^2 + b^2 = c^2[/tex], where a and b are legs and c is hypotenuse
Let's use Pythagorean Theorem to solve this problem. In this problem we're giving the variables of a and c.
- [tex]3^2 + b^2 = 11^2[/tex]
- [tex]9 + b^2 = 121[/tex]
Now, we solve for b.
Step 1: Subtract 9 from both sides.
- [tex]9+b^2-9 = 121 - 9[/tex]
- [tex]b^2 = 112[/tex]
Step 2: Take square root of both sides.
- [tex]\sqrt{b^2} = \sqrt{112}[/tex]
- [tex]b = \sqrt{112}[/tex]
Therefore, the answer is square root of 12 units.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
