Trapezium
- 1. TRAPEZIUM
- 2. A trapezium is a quadrilateral having exactly one pair of opposite sides parallel From Greek (Bahasa Yunani) : tra - "four" , peza- "foot, edge,"
- 3. Euclid mentions trapezoids in his Elements a couple of times. In Book I, Definition 22, he defines several types of quadrilaterals, and ends with "let quadrilaterals other than these be called trapezia." He also uses trapezium in his proof of Book I , Proposition 35 (parallelograms with equal bases and sides are equal in area). In the former case, it is not clear that what he calls trapezia refers to our modern day trapezoid, or to any quadrilateral not fitting his previous definitions. In the latter case, he is clearly referring to our trapezium, though that could be because that shape happened to come up in his proof (Joyce 1998). Proclus, another ancient Greek mathematician, used the non- American terms to describe the two shapes, and these definitions were the norm for centuries. The divergence in the meanings comes from Hutton's Mathematical Dictionary in 1795, where the definitions were erroneously swapped. The reversed definitions stuck, and remain so to this day in the United States, while the rest of the world still uses the ancient Greek definitions (Weisstein, 2012).
- 4. Right Trapezium A right trapezium has two right angles Scalene Trapezium Is trapezium each having its four sides not equal in lenght and four angles not equal in degree Isosceles Trapezium Is trapezium having one pair of opposite sides equal in lenght
- 6. PERIMETER’S FORMULA The parimetre’s formula of trapezium is the totally of all sides in trapezium. AREA’S FORMULA The area’s formula of trapezium is the half of sum parallel sides times the perpendiculas distance between the parallel sides.
- 7. Consider the area of the following trapezium.
- 8. Example 1. Find the area of the following Isosceles trapezium. 2. Find the area of the following trapezium.
- 9. Members of Group 1. Anggita Maya Pertiwi (13310059) 2. Maghfirah Vivin Umami (13310079) 3. Mimin Dwi Raharja (13310081) 4. Sika Khoirunnisa (13310094) 5. Uswatun Khasanah (13310100)