Mathematics Angles, Triangles and Polygons

用戶215271

2008-07-31 11:50 pm

1. If a figure has five sides of equal length, can we conclude that it is a
regular pentagon? Explain your answer briefly with an example.

2. Explain why six identical equilateral triangles can form a regular hexagon.

回答 (1)

waiting

2008-08-01 1:55 am

✔ 最佳答案

(1)Besides the five equal sides , a regular pentagon has equal interior angles (108)(2) The sum of the angles of a regular n-gon is 180(n-2) degrees.The sum of the angles of a regular hexagon is 720 , with six equal interior angles (120)

圖片參考：http://mathcentral.uregina.ca/QQ/database/QQ.02.06/trevor1.1.gif

The sum of the angles of each of these triangles is 180 .The angles of an identical equilateral triangle is 60.
>>>Any two angles of the equilateral triangles form an angle of an regualr hexagon.>>>60x 2=120
Six identical equilateral triangles can form a regular hexagon.

參考: myself

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