Question 1171929: Suppose you are making an rectangular concrete floor for a shed. You have framed the perimeter of the floor and want to check that the sides meet at right angles. The diagonal of the floor measures . Explain why this measurement gives you confidence that the corners of the floor are very close to being 90 degrees. Use diagrams and calculations, and include the name of any theorem you use in your explanation.
Answer by Solver92311(821)   (Show Source):
You can put this solution on YOUR website!
You didn't give the measurement of the diagonal. That is because you probably cut and pasted from an online course test where they prevent you from copying the entire thing as an anti-cheating strategy.
Be that as it may, you didn't give the dimensions of the rectangle either, so the measurement of one diagonal would be meaningless in this context.
If you have the measures of both diagonals, then you can make a judgment about the measure of the vertex angles of the rectangle. If the two diagonals are equal, then the four corners are right angles. If they aren't equal, but very close to being equal, then the four corners are very close to being right angles. Otherwise, your floor is a parallelogram or a trapezoid.
If you have the measures of the sides and one diagonal, first compare the measures of the long sides and the short sides. If the two long sides are very close to the same measure and the two short sides are very close to the same measure, square the measure of the long side and add that to the square of the measure of the short side and then take the square root of the sum. If the angles are close to 90 degrees, then the square root value will be very close to the measure of the diagonal.
John
My calculator said it, I believe it, that settles it
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