Question

Tony is installing a new doorway to his back yard. He cuts a hole into his back wall, but it must
be a perfect rectangle with right angles to accommodate the door frame. Tony measures the
hole at 7.5 feet high, and 4 feet wide. He measures the diagonal distance from corner to
corner at 8.5 feet. Did he succeed in cutting a rectangle with right angle corners? How do you
know?

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Yes, Tony did succeed in cutting a rectangle with right angle corners.

Step-by-step explanation:

If the cut rectangle has right angle corners, then the Pythagorean theorem would work.

Verify using the Pythagorean theorem.

$7.5^2+4^2 = 8.5^2$

72.25 = 72.25

The two sides of the equations are equal, so the Pythagorean theorem works.

Therefore, Tony did succeed in cutting a rectangle with right angle corners.