A right triangle has legs of lengths 15 inches and 12 inches Find the length of the hypotenuse Provide an answer accurate to the nearest tenth. square III

To length of the hypotenuse of a right triangle with legs of lengths 15 inches and 12 inches, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.<br /><br />Let's denote the length of the hypotenuse as \( c \). According to the Pythagorean theorem, we have:<br /><br />\[ c^2 = 15^2 + 12^2 \]<br /><br />Now, let's calculate the squares of 15 and 12:<br /><br />\[ 15^2 = 225 \]<br />\[ 12^2 = 144 \]<br /><br />Next, we add these values together:<br /><br />\[ c^2 = 225 + 144 \]<br />\[ c^2 = 369 \]<br /><br />To find \( c \), we take the square root of both sides:<br /><br />\[ c = \sqrt{369} \]<br /><br />Using a calculator to find the square root of 369:<br /><br />\[ c \approx 19.2 \]<br /><br />Therefore, the length of the hypotenuse is approximately 19.2 inches.