Two legs of a right triangle each measure 10 inches how long is the hypotenuse

For this case, the first thing you should do is apply the Pythagorean theorem:

c = root ((a) ^ 2 + (b) ^ 2)

Where,

a, b: sides of the triangle

c: hypotenuse

Substituting values we have:

c = root ((10) ^ 2 + (10) ^ 2)

c = root (100 + 100)

c = root (200)

c = root (2 * 100)

c = 10 * root (2)

Answer

The hypotenuse is:

c = 10 * root (2) inches