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mixer [17]
4 years ago
15

* ANSWER ASAP *

Mathematics
1 answer:
SCORPION-xisa [38]4 years ago
8 0

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

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