For the following right triangle, find the length x. Round your answer to the nearest hundredth.

Given the triangle with two sides given, we are asked to find the unknown side which is x.
Using pythagoras theorem:
recall that:
a² + b² = c²
a² = c² - b²
So, let:
b = 10
c = 14
a = x
x² = 14² - 10²
x = √(14)² - (10)²
x = √196 - 100
x = √96
x = 9.79