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I'm not sure if the first and last questions are correct or not. Sorry for my crappy writing. The other two I'm confused about because I think I set the problem up wrong. Please check and help with the others. Thanks.

 Oct 15, 2019
 #1
avatar+104911 
+2

First one    

We have a 45 - 45 - 90    right triangle

The sides opposite the 45°  angles are equal

Therefore.....2√10  = √40  = x

 

Using the Pythagorean Theorem

 

√ [  ( √40)^2  + (√40)^2 ]   =  √ [40 + 40]  = √80  =  4√5  =  y

 

 

 

cool cool cool

 Oct 15, 2019
 #2
avatar+104911 
+2

Second one

 

We have a 30 - 60 - 90     right triangle

 

y  is  opposite the 30° angle ....its length is    30/√3

   

x is opposite the  90° angle....it has twice the length of x  =  60/√3

 

 

cool cool cool

 Oct 15, 2019
 #3
avatar+104911 
+2

Third one

 

Another 30 - 60 -90  right triangle

 

The side opposite the  30°   angle has (1/2)  the length  of 14√3  =    7√3   =  y

 

The side opposite the  60°  angle  has a length of √3  times 7√3  =  7√3 *√3  = 7 * 3  =  21 = x

 

 

cool cool cool

 Oct 15, 2019
 #4
avatar+104911 
+2

Your answer to the last one is correct   ....good job   !!!!

 

 

 

 

cool cool cool

 Oct 15, 2019

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