PROBLEM: Isosceles Trapezoid
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for a statement of the problem.
Discussion/Solution? : Isosceles Trapezoid
- The length, in terms of a and b, of a parallel line
segment through the midpoints of the slant sides of the isosceles trapezoid
is
.
This is the arithmetic mean. The segment is also known as the median
of the trapezoid.
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- The length, in terms of a and b, of a parallel line
segment through the intersection of the diagonals of the isosceles trapezoid
is
.
This is the harmonic mean.
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- The length, in terms of a and b, of a parallel line segment that divides
the isosceles trapezoid into two isosceles trapezoids of equal area is
.
This is the geometric mean.
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- The length, in terms of a and b, of a parallel line
segment that divides the isosceles trapezoid into two isosceles trapezoids
of equal area is
.
This is the root mean squared.
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Comparing the lengths of the four segments
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the segments.
Consider the proofs of the inequalities.
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