*answer asap *
i know the answer is 12, but can someone show examples and details on how it is 12? ?
i have to show details on how i got my answer.

The answer to your question is CH = 12.11

Step-by-step explanation:

Process

1.- From the picture we know that the length of BF is equal to CF

            BF = CF = 9.9

2.- Also we know that the triangle BCG is a right triangle where

    BC = hypotenuse

    BG and CG are the legs of the triangle

    then     BC² = BG² + CG²

BC = 9.9 x 2 = 19.8

BG = 8

Substitution

                CG² = BC² - BG²

                CG² = 19.8² - 8²

Simplification and result

                CG² = 392.04 - 64

                CG² = 328.04

                CG = 18.11

3.- Find CH

                CG = CH + GH

Solve for CH

                CH = CG - GH

Substitution

                CH = 18.11 - 6

Result

                CH =  12.11

true

step-by-step explanation: