+0

# Advanced Use Of The Pythagorean Theorem? (square roots)

0
931
4

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

Feb 8, 2016

#3
+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   Feb 8, 2016

#1
0

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

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)

Feb 8, 2016
edited by rarinstraw1195  Feb 8, 2016
#3
+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   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 Feb 9, 2016