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right trapezoid∗
Wkbj79†
2013-03-21 23:06:40
A right trapezoid is a trapezoid that has at least two right angles. Below is
a picture of a right trapezoid.
In some dialects of English (e.g. British English), this figure is referred to
as a right trapezium. Because of the modifier “right”, no confusion should arise
with this usage.
All rectangles are right trapezoids (unless the restricted definition of trapezoid is used, see the entry on trapezoid for more details). Note also that, in
Euclidean geometry, a trapezoid cannot have an odd number of right angles.
A right isosceles trapezoid is a trapezoid that is simultaneously a right trapezoid and an isosceles trapezoid. In Euclidean geometry, such trapezoids are
automatically rectangles. In hyperbolic geometry, such trapezoids are automatically Saccheri quadrilaterals. Thus, the phrase “right isosceles trapezoid”
occurs rarely.
Right trapezoids are used in the trapezoidal rule and composite trapezoidal
rule for estimating Riemann integrals.
∗ hRightTrapezoidi
created: h2013-03-21i by: hWkbj79i version: h39518i Privacy setting:
h1i hDefinitioni h51-00i
† This text is available under the Creative Commons Attribution/Share-Alike License 3.0.
You can reuse this document or portions thereof only if you do so under terms that are
compatible with the CC-BY-SA license.
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