Respuesta :

lavanyaande

the missing length will be C) 120 unit

Step-by-step explanation: here, FC = 30 , FH = 100

BC = 33, GH = 110

let us take their ratio

FC/FH = 30/100 = 3/10 and

BC/GH = 3/10

so the sides FB and FG has be in same ratio.

FB/FG = 3/10

or, 36/FG = 3/10

or, 3 X FG = 36 X 10 (by cross multiplication)

or, FG = (36 X 10)/3

= 120

Hrishii

Step-by-step explanation:

[tex]\triangle GFH = \triangle BFC.. (given) \\ \\ \therefore \: \frac{GF}{BF} = \frac{GH}{BC} ..(csst) \\ \\ \therefore \: \frac{GF}{36} = \frac{110}{33} \\ \\ \therefore \: GF = \frac{110}{33} \times 36 \\ \\ \therefore \: GF = \frac{10}{3} \times 36\\ \\ \therefore \: GF = 10 \times 12 \\ \\ \therefore \: GF = 120 \: units[/tex]

Thus, the missing length is 120 units.

Hence, option C is the correct answer.

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