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
