{"id":1983,"date":"2024-04-17T19:13:44","date_gmt":"2024-04-17T19:13:44","guid":{"rendered":"https:\/\/domath.surju.ee\/?page_id=1983"},"modified":"2024-12-31T00:10:11","modified_gmt":"2024-12-31T00:10:11","slug":"trapezium","status":"publish","type":"page","link":"https:\/\/domath.surju.ee\/es\/trapezium\/","title":{"rendered":"Trapezium, trapezoid"},"content":{"rendered":"\n

<\/p>\n\n\n

Trapezium, trapezoid<\/strong><\/span><\/h1>\n

A trapezium (UK) or a trapezoid (US)<\/p>\n

A trapezium<\/strong> <\/span>is\u00a0a quadrilateral having two parallel sides of unequal length and the other two sides are non-parallel. The parallel sides of a trapezium are called bases<\/strong> (AD and DC or a and b)<\/strong> and the non-parallel sides of a trapezium are called legs (AD and BC or c and d<\/strong>).\u00a0<\/p>\n

If the legs are equal in length, the trapezoid is called\u00a0isosceles<\/strong>.<\/p>\n

The distance between the bases is called the altitudes of the trapezoid (DE).<\/strong>
\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \"\"\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \"\"<\/p>\n

The\u00a0midsegment\u00a0 <\/strong>(FG) of a trapezoid is the segment connecting the midpoints of the two non-parallel sides (AF=FD and BG=GC).<\/p>\n

\u00a0A trapezoid<\/strong> is usually considered to be a convex quadrilateral in Euclidean geometry<\/strong>, but there are also crossed cases.<\/p>\n

\"\"<\/p>\n

Trapezoid special cases.<\/span><\/strong><\/span><\/h5>\n

.<\/p>\n

\"\"<\/p>\n

The orange figures also qualify as parallelograms<\/p>\n

\"\"A right trapezoid<\/strong><\/span> (also called right-angled trapezoid) has two adjacent right angles.\u00a0 \"\"\u00a0An\u00a0acute trapezoid<\/b><\/span>\u00a0has two adjacent acute angles on its longer\u00a0base<\/i> edge.\u00a0 \u00a0<\/p>\n

\u00a0\"\"An obtuse trapezoid<\/b>\u00a0<\/span>on the other hand has one acute and one obtuse angle on each\u00a0base<\/i>.<\/p>\n

\"\"<\/p>\n

An <\/span>isosceles trapezoid<\/b><\/span> is a trapezoid where the base angles have the same measure<\/span>\u00a0 \u00a0 \u00a0 \u00a0 and the legs are equal in length (AD = BC).<\/span><\/p>\n

\u00a0 \"\"3-sides equal trapezoid<\/span><\/strong> is a trapezoid with three sides are equal (EH=HG=GF)<\/p>\n

\"\"\u00a0A\u00a0 tangential trapezoid<\/b>\u00a0<\/span>is a trapezoid that has an\u00a0incircle<\/strong>.<\/p>\n

(Source: https:\/\/en.wikipedia.org\/wiki\/Trapezoid<\/a>)<\/p>\n\n\n

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Midsegment, a<\/strong><\/span>rea, perimeter\u00a0<\/strong><\/span><\/h5>\n

\"\"<\/p>\n<\/p>\n

The length of the midsegment of trapezoid<\/strong> is half the sum of the lengths of the two parallel sides.\u00a0<\/p>\n\n

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\"\"<\/figure><\/div>\n\n

\"\"<\/span>a<\/i><\/strong>\u00a0<\/span>and\u00a0b<\/i><\/span>\u00a0<\/strong>are the lengths<\/span><\/strong> of the parallel sides,\u00a0
h<\/i><\/span><\/strong> is the height<\/span> <\/strong>(the perpendicular distance between these sides),\u00a0
m<\/i><\/span><\/strong> is the (length of the<\/strong>\u00a0midsegment)\u00a0<\/span><\/strong> arithmetic mean<\/strong><\/span>\u00a0of the lengths of the two parallel sides<\/p>\n

\u00a0<\/h5>\n\n
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\"\"<\/figure><\/div>\n\n
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\"\"<\/figure><\/div>\n\n