Two short legs of right triangle are 16 each. How long is long side

http://www.mathsisfun.com/pythagoras.html

a = 16.

b = 16.
c = ?

c^2 = a^2 + b^2.

To find the length of the long side (hypotenuse) of a right triangle, we can use the Pythagorean theorem, which states that for any right triangle:

a² + b² = c²

where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.

In this case, we have two short legs of 16 each, so we can substitute those values into the equation:

16² + 16² = c²

Simplifying:

256 + 256 = c²

512 = c²

To find the value of c (length of the hypotenuse), we need to take the square root of both sides of the equation:

√(512) = √(c²)

So the length of the hypotenuse, rounded to two decimal places, is approximately:

c ≈ √512 ≈ 22.63

Therefore, the long side (hypotenuse) of the right triangle is approximately 22.63.