Question

Find the value of x. Segments that appear to be tangent are tangent. Round your answer to the nearest tenth. Do not include "x=" in your answer.

Answer 1

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

Pythaogram theorem

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