A right triangle has a leg length of 10 meters and a hypotenuse that is 26 meters. What is the length of the other leg?

The length of the other leg is 24 meters.

Step-by-step explanation:

Well, let's think about the equation that gives us the hypotenuse in the first place, the Pythagorean theorem (which only works on right triangles!).

The a^2 is one side of the triangle that we know and the b^2 is the other, the c^2 is the hypotenuse we are trying to solve.

Seeing that in this question, we can put 10, in the place of a^2, and 26 in the place of c^2

That's what we have down the information we have, but now we'll have to do some rearranging to solve for the other leg's length. First let's square the numbers, 10^2 = 100 and 26^2= 676!

Now we need to get b^2 by itself so we can solve it! Let's subtract 100 from both sides to do so,

Now we got b^2 = 576!

But that's not our answer we have to square root it to get rid of the squared part!

and when we do that we get,

The length of the other leg is 24 meters!