Answer:
x = sqrt(55)
x = 7.416198487
Step-by-step explanation:
We can use the Pythagorean theorem
The base is 3 (1/2 of 6). The other leg is x and the hypotenuse is 8
a^2 + b^2 = c^2
3^2 + x^2 = 8^2
9 + x^2 = 64
Subtract 9 from each side
9-9 +x^2 = 64-9
x^2 = 56
Take the square root of each side
sqrt(x^2) = sqrt(55)
x = sqrt(55)
x = 7.416198487
