Question 1026938: The width of a rectangular playing field is 60 yards. The area of the field is 7200 yards^. How far is it diagonally across the field?
I have tried using the s, s(sqrt (3)), 2s rule when I divided the rectangle into two 30, 60, 90 degree triangles. But it doesn't make sense.
Found 2 solutions by FrankM, MathTherapy:
Answer by FrankM(1040)   (Show Source):
Answer by MathTherapy(10552)  (Show Source):
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The width of a rectangular playing field is 60 yards. The area of the field is 7200 yards^. How far is it diagonally across the field?
I have tried using the s, s(sqrt (3)), 2s rule when I divided the rectangle into two 30, 60, 90 degree triangles. But it doesn't make sense.
Neither of the 2 right triangles created when the diagonal is drawn, REPRESENTS a 30-60-90 special triangle.
A 45-45-90 triangle is not created either. This is why it doesn't make sense. When you divide the area (7,200 sq yds) by the
width (60 yds), you get a length of 120 yds. You should notice then, that one leg of one of the 2 triangles is 60, while the
other is double this shorter leg, at 120 yds. Use the Pythagorean formula to determine the length of the hypotenuse (the diagonal).
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