Final answer:
To find the width of the windowpane, we can use the Pythagorean theorem. The width of the windowpane is 12 inches.
Step-by-step explanation:
To find the width of the windowpane, we can use the Pythagorean theorem. The diagonal distance from one corner to the other forms the hypotenuse of a right triangle, with the height of the windowpane as one of the legs. Using the theorem, we have:
Height^2 + Width^2 = Diagonal^2
Plugging in the given values:
9^2 + Width^2 = 15^2
Simplifying:
81 + Width^2 = 225
Subtracting 81 from both sides:
Width^2 = 144
Taking the square root of both sides:
Width = 12 inches