To find the length of the hypotenuse in a right triangle given the lengths of the other two sides, you 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.
In this case, the given side lengths are 9 and 12. To find the length of the hypotenuse, you can use the equation:
hypotenuse^2 = 9^2 + 12^2
First, calculate the squares of the side lengths:
side1^2 = 9^2 = 81
side2^2 = 12^2 = 144
Next, add the squares together:
81 + 144 = 225
Now, take the square root of 225 to find the length of the hypotenuse:
hypotenuse = √225 = 15
Therefore, the length of the hypotenuse in the given right triangle is 15 units.