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Find the length x.

 

 Aug 5, 2020
 #1
avatar+26735 
+1

the 12 - 16 triangle has a hypotenuse of 20  (via pythag theorem)

 

20 is to 16      as     x  is to 20

 

20/16 = x/20

x = 25

 Aug 5, 2020
 #2
avatar+169 
+2

Triangle with legs 12 & 16 has a hypotenuse of 144+256=400, sqrt400=20.

Now, realize that these are similar triangles (as an exercise, figure out why!)

So, we have 20:16=x:20

Solve that.

 Aug 6, 2020

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