The square of the hypotenuse is equal to the sum of the square of other two sides. The value of x from the given diagram to the nearest tenth is 11.2
<h3>Pythaogram theorem</h3>
According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.
From the diagram
hypotenuse = 5.6 + 8.4 = 14
Other sides are x and 8.4
According to the theorem:
14^2 = x^2 + 8.4^2
x^2 = 14^2 - 8.4^2
Simplify
x^2 = 196 - 70.56
x^2 = 125.44
x = 11.2
Hence the value of x from the given diagram to the nearest tenth is 11.2
Learn moreon Pythagoras theorem here: brainly.com/question/18811544