+709 If the Hypotenuse of a 45-45-90 triangle is \(3\sqrt{2}\), what are the lengths of the other 2 sides? Please explain.
+5265 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)
+129852 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
+118673
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
