+0  
 
0
590
4
avatar+705 

If the Hypotenuse of a 45-45-90 triangle is \(3\sqrt{2}\), what are the lengths of the other 2 sides? Please explain.

Best Answer 

 #3
avatar+88775 
+10

In a 45-45-90  right triangle, the legs are  1/sqrt(2)  as long as the hypotenuse....

 

So.....the legs are  3sqrt(2) * (1 / sqrt(2))   =    3  units long

 

 

 

cool cool cool

CPhill  Feb 8, 2016
 #1
avatar+705 
0

I got 2.9999999... Please tell me if this is correct.

 #2
avatar+5250 
+11

Both legs are equal to 3 because they are congruent and equal 3*(sqrt(2))/sqrt(2).

 

Reason: 45-45-90 Thrm.

 

Both legs are congruent, hypotenuse is leg*sqrt(2)

rarinstraw1195  Feb 8, 2016
edited by rarinstraw1195  Feb 8, 2016
 #3
avatar+88775 
+10
Best Answer

In a 45-45-90  right triangle, the legs are  1/sqrt(2)  as long as the hypotenuse....

 

So.....the legs are  3sqrt(2) * (1 / sqrt(2))   =    3  units long

 

 

 

cool cool cool

CPhill  Feb 8, 2016
 #4
avatar+93289 
+10

 

If the Hypotenuse of a 45-45-90 triangle is 3root2 , what are the lengths of the other 2 sides? Please explain.

 

 

This is a standard 45-45-90 triangle. 

The sides must stay in the same proportion.

If you multiply the hypotenuse by 3 you can see it will be    \(3\sqrt2\;\;\;units\)

So you must multiply the other sides by 3 as well.   1*3=3

SO

the other sides will be 3

 

 

Melody  Feb 9, 2016

26 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.