Answer:
The distance between opposite corners of the windowpane is 8.5 inches (rounding to the nearest tenth).
Explanation:
1. Let's use the Pythagorean Theorem to find the distance between opposite corners of the windowpane:
With the information given, we have a right triangle with the distance between opposite corners of the windowpane as the hypotenuse and its sides of 6 inches as the width and length of the windowpane and as sides of the right triangle.
Distance between opposite corners of the windowpane ² = Width of the windowpane ² + Length of the windowpane ²
Replacing with the real values:
Distance between opposite corners of the windowpane ² = 6² + 6²
Distance between opposite corners of the windowpane ² = 36 + 36
Distance between opposite corners of the windowpane ² = 72
√ Distance between opposite corners of the windowpane² = √72
Distance between opposite corners of the windowpane = 8.5 inches (rounding to the nearest tenth)