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Klio2033 [76]
3 years ago
10

Solve for x (Geometry)

Mathematics
2 answers:
Makovka662 [10]3 years ago
5 0

Answer:6

Step-by-step explanation:

Bas_tet [7]3 years ago
4 0

Answer:

Everyone has a tough time with this kind of problem.  Something about them is just really difficult to teach.  I guess.  

Step-by-step explanation:

Because these are  similar triangles,  they are just scale copies of each other.  exactly the same angles and the sides are the a single scaling factor different, we can just set them equal to each other as much as possible

18/y = y/2

since they are the same size on side y, then we can figure this out

(y/18)* (18/y) = (y/2)*(y/18)      multiply both side by y/18

1 = y^{2} / 36

36 = y^{2}       they made it easy for us... :P

6 = y

and then Pythagoras to find x

x = sqrt( 18^2 + 6^2 )

x = 18.9736

x ≈ 19

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