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Find the value of x.  Round your answer to the nearest hundredth if necessary.

 

 Mar 31, 2021
 #1
avatar+118611 
+2

First.....find  the altitude, A,   as....  sqrt  (12^2  - 8^2)  = sqrt  [ 144 - 64 ] = sqrt (80) =  4sqrt 5

 

And  we  have  this relationship

 

x / A =  A  / 8

 

x / ( 4sqrt 5)  =  (4sqrt 5)  /  8        cross-multiply

 

8x  =  (4 sqrt 5)^2

 

8x  =  80

 

x  =  80 / 8   =   10

 

cool cool cool

 Mar 31, 2021
 #2
avatar+1205 
+2

x = 12 / (8/12) - 8

 Mar 31, 2021
edited by civonamzuk  Mar 31, 2021
 #3
avatar
0

Using similar triangles

 

8 is to 12     as   12 is to x + 8

8/12 = 12/(x+8)     cross multiply

8x + 64 = 144

x = 10

 Mar 31, 2021

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