Find the hypotenuse if the length of 10 p a triangle is 12 inches and the width is 15 inches. Round to the nearest hundredths

To find the hypotenuse of a right triangle when you know the lengths of the two other sides (the legs), you can use the Pythagorean theorem, which states: \[ c = \sqrt{a^2 + b^2} \] where \(c\) is the length of the hypotenuse, and \(a\) and \(b\) are the lengths of the other two sides. In your case, the length (one leg) is 12 inches and the width (the other leg) is 15 inches. Plugging in these values: \[ c = \sqrt{12^2 + 15^2} \] Calculating the squares: \[ c = \sqrt{144 + 225} \] \[ c = \sqrt{369} \] Now, calculating the square root: \[ c \approx 19.2 \] Rounding to the nearest hundredths, the length of the hypotenuse is approximately **19.21 inches**.