請詳細列出步驟:
In△XYZ,∠X - ∠Y = 23° and∠Z = 79°.Find∠X and ∠Y.
急~數學高手請入!一條數學題目,20點,請詳細列出步驟
2009-03-04 6:06 am
回答 (3)
2009-03-05 5:55 am
✔ 最佳答案
在數學中有一個原理：每個三角形的三隻角的總和都是一定等於一百八十度 ( 180° ) ，所以每逢遇到發問者所發問的問題，只要明白這個原理，就能輕易解決。以下為發問者所發問的問題的答案。Let A be ∠X.
A + ( A - 23° ) + 79° = 180° ( ∠ sum of △ )
A + A - 23° + 79° = 180°
2A + 56° = 180°
2A = 124°
A = 62°
∴ ∠X = A = 62°, ∠Y = A - 23° = 62° - 23° = 39°.
參考: 自己
2009-03-04 6:21 am
設∠X為x.
x+x-23+79=180
2x=124
x=62
∠X :62
∠X - ∠Y = 23°
62-∠Y= 23°
∠Y=39
∠Y:39
x+x-23+79=180
2x=124
x=62
∠X :62
∠X - ∠Y = 23°
62-∠Y= 23°
∠Y=39
∠Y:39
參考: me
2009-03-04 6:19 am
X - Y = 23 (given)
X = Y + 23
Z = 79 (given)
X + Y + Z = 180 (angle sum of △)
Y + 23 + Y + 79 = 180
Y = 39
X = Y + 23
X = 39 + 23
X = 62
X = Y + 23
Z = 79 (given)
X + Y + Z = 180 (angle sum of △)
Y + 23 + Y + 79 = 180
Y = 39
X = Y + 23
X = 39 + 23
X = 62
收錄日期: 2021-04-13 16:28:57
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090303000051KK01827