Find the length of the hypotenuses of a right triangle with legs 19.1 and 16.2

1. Apply the Pythagorean theorem: c = \sqrt{a^2 + b^2} .

2. Substitute \( a = 19.1 \) and \( b = 16.2 \):

c = \sqrt{{19.1}^2 + {16.2}^2} .

3. Calculate the squares:

{19.1}^2 = 364.81 ,

{16.2}^2 = 262.44 .

4. Add the squares:

364.81 + 262.44 = 627.25 .

5. Take the square root:

\sqrt{627.25}\approx25.044 .

The length of the hypotenuse is approximately 25.044 .