find the missing length. Give all answers in the simplest radical form.

Answer:
x = 2[tex]\sqrt{74}[/tex]
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to solve for x
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
x² = 14² + 10² = 196 + 100 = 296
Take the square root of both sides
x = [tex]\sqrt{296}[/tex] = 2[tex]\sqrt{74}[/tex]