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

GenericUsernameHere
Feb 8, 2016

#2**+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

#3**+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

CPhill
Feb 8, 2016

#4**+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