how many non-congruent triangles with perimeter 11 have integer side lengths 中文意思英语翻译题 相关知识点: 试题来源: 解析 边长是整数,周长为11的不全等的三角形有几个?一共有这么多种整数三边1,1,9#1,2,8#1,3,7#1,4,6#1,5,52,2,7#2,3,6#2,4,53,3,53,4,4因为两边之和必大于第三边,...
1 14There is a group of non-congruent triangles.The side lengths of these triangles are all integers.The lengths of two sides in each triangle are 5 and 7.(1)Write down the length of the third side in one of the triangles.(2)Let the maximum number of triangles in the group be n....
More specifically, it introduces and proves the following theorem: given any non-equilateral triangle, there exist infinitely many mutually non-congruent triangles with the same area and the same perimeter as the given triangle.doi:10.1080/002073902320602969...
英文: Any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent.中文: 各面都是正多边形且多面体的角都相等的立体。英文: An equilateral triangle cannot be dissected into finitely many incongruent equilateral triangles.中文: 等边三角形不能分成有限...
non·con·gru·entˌnän-kən-ˈgrü-ənt -ˈkäŋ-grü-ənt Synonyms ofnoncongruent :lackingcongruity:notcongruent noncongruenttriangles Underlying all of this is the fundamental problem of the country's having adopted twononcongruentideals of higher education.— ...
1 14There is a group of non-congruent triangles.The side lengths of these triangles are allintegers.The lengths of two sides in each triangle are 5 and 7.(1)Write down the length of the third side in one of the triangles.(2)Let the maximum number of triangles in the group be n.Fin...
结果1 题目 How many non-congruent right triangles with positive integer leg lengths have areas that are numerically equal to times their perimeters?( ) A: B: C: D: E: 相关知识点: 试题来源: 解析 A N/A. 反馈 收藏
Mohammed Ben Alhocain, in an Arab manuscript of the 10th century, stated that the principal object of the theory of rational right triangles is to find a s... Y Tian - 《Proceedings of the National Academy of Sciences of the United States of America》 被引量: 38发表: 2012年 On Integer...
Nandakumar by proving that there is no tiling of the plane with pairwise noncongruent triangles of equal area and equal perimeter. We also show that no convex polygon with more than three sides can be tiled with finitely many triangles such that no pair of them share a full side....
Here a weaker result is obtained: there is a tiling of the plane by pairwise non-congruent triangles of equal area such that their perimeter is bounded by some common constant. Several variants of the problem are stated, some of them are answered....