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Mathematics

1 answer:

evablogger [386]2 years ago

8 0

Answer:

The distance between opposite corners of the windowpane is 8.5 inches (rounding to the nearest tenth).

Step-by-step 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)

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