A right triangle has a hypotenuse of length 30 and a leg of length 10. To the nearest tenth, what is the length of the other leg?

We have the right angle triangle
with sides:

The hypotenuse (h)  =
30

One of the sides  ( L) = 10

Find the
other sides.

Let the other side be
B:

Then we  know that in a right angle triangle , the hypotenuse
equals the square root of the sum of the sides squares:

==>
hypotenuse^2 = side1^2 + side2^2

==> h^2 = L^2 +
B^2

==> B^2 = h^2 -
L^2

==> B = sqrt( h^2 -
L^2)

           = sqrt( 30^2 -
10^2)

           = sqrt( 900 -
100)

            = sqrt800

            
= 20sqrt2 *

Then, the length of the other sides
is:

B = 20sqrt2 = 28.3 ( to the nearest
10th)