Answer:
x = sqrt(96)
x = 4 sqrt(6)
Step-by-step explanation:
We can use the Pythagorean theorem to find x since this is a right triangle
The base would be 5 1/2 of the full length of 10
The hypotenuse would be 11
a^2 + b^2 = c^2
5^2 + x^2 = 11^2
25 + x^2 = 121
Subtract 25 from each side
25-25 + x^2 = 121-25
x^2 =96
Take the square root of each side
sqrt(x^2) = sqrt(96)
x = sqrt(96)
x = sqrt(16*6)
We know sqrt(a*b) = sqrt(a) sqrt(b)
x =sqrt(16) sqrt(6)
x = 4 sqrt(6)
