Final answer:
The length of the hypotenuse in a right triangle with legs measuring 15 inches and 19 inches is approximately 24.17 inches.
Step-by-step explanation:
The length of the hypotenuse in a right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the two legs.
In this case, the legs of the right triangle have lengths of 15 inches and 19 inches. Therefore, the length of the hypotenuse can be found using the equation: c = sqrt(a^2 + b^2)
Substituting the values, we get: c = sqrt(15^2 + 19^2) = sqrt(225 + 361) = sqrt(586) = 24.17 inches (rounded to two decimal places).