一正方形的兩條對角線長95CM,求其面積

2007-07-27 11:56 pm
要用畢氏定理架

THX~

回答 (4)

2007-07-28 8:46 am
✔ 最佳答案
http://hk.geocities.com/all.resources/Square.jpg

假設正方形邊長為A。根據以上圖片,
A^2+A^2=95^2 (畢氏定理)
2A^2=9025
A^2=4512.5

正方形面積=A^2=4512.5cm^2
參考: Me
2007-07-28 12:05 am
Let the 3 sides be called A, B, B (because it is a square); which A is the diagonal(對角線)

A^2 = B^2 + B^2
95^2 = 2 (B^2)
B^2 = (95^2) / 2
B^2= 4512.5

Since we are looking for the area, which = B^2, we don't need further calculation
Area of the square = 4512.5 cm^2
2007-07-28 12:04 am
{(95)2次+(95)2次方}開方 之後 再x2

2007-07-27 16:08:47 補充:
計到答案後,乘以95/2(三角形面積)再乘以2 =一個正方形面積
2007-07-28 12:04 am
正方形係 4邊相等~假設邊為 x~
代入畢氏定理
x 2次 加 x 2次=95 2次方~
求到x後 , 代入正方形面積既 公式~
隻係 邊乘邊~>>> x乘x~


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