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What is the length of FG?
(Picture of Question Below!)

A. 1.2
B. 3
C. 3.6
D. 4 ( IT IS NOT D!)
E. 6

What Is The Length Of FG Picture Of Question Below A 12 B 3 C 36 D 4 IT IS NOT D E 6 class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  C.  3.6

Step-by-step explanation:

AC = FA + FC = 4+6 = 10

AC is the hypotenuse of right triangle ABC, which has leg BC = 8. Then the length of AB is given by the Pythagorean theorem as ...

  AB² +BC² = AC²

  AB = √(10² -8²) = 6

The side lengths of these similar triangles are proportional, so you have ...

  FG/FC = AB/AC

  FG = FC(AB/AC) = 6(6/10)

  FG = 3.6

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