Find the approximate length of the leg of a right triangle with one leg length 8 and hypotenuse length 19

8^2 + B^2 = 19^2

64 + B^2 = 361

B^2 = 297

B = 17.2

To find the length of the other leg of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, let's call the length of the other leg "x". According to the Pythagorean theorem:

x^2 + 8^2 = 19^2

Simplifying the equation:

x^2 + 64 = 361

Subtracting 64 from both sides:

x^2 = 297

Taking the square root of both sides:

x ≈ √297

Using a calculator, we find that the square root of 297 is approximately 17.23.

Therefore, the approximate length of the leg of the right triangle is 17.23.