Answer:
5.7
Step-by-step explanation:
Equilateral triangle means all the sides are the same length. So each side is basically [tex]\sqrt{11}[/tex] times 2
After we know that, we then look to the Pythagorean theorum:
a^2 + b^2 = c^2
Before that, we have to find what the length of the hypotenuse is. 90 degrees equals [tex]\sqrt{11}[/tex] times 2. So plug this info into the equation:
[tex]\sqrt{11}[/tex]^2 + b^2 = [tex]2\sqrt{11}[/tex]^2
11 + b^2 = 4(11)
11 + b^2 = 44
b^2 = 33
b = [tex]\sqrt{33}[/tex]
b = 5.744 = 5.7
