What is SSS,SAS,AAA,ASA,AAS???

2011-05-15 8:40 pm
What is SSS,SAS,AAA,ASA,AAS,RHS????

回答 (6)

2011-05-22 2:30 am
✔ 最佳答案
First, we need to understand what is 'S' and 'A'.
S = side, A= angle

To prove the triangles are congruent, we use SSS, SAS, ASA, AAS, RHS

SSS = side side side :
3 sides are equal, we can prove they are congruent triangle.

SAS = side, angle, side :
2 sides and 1 included angle are equal, we can prove they are congruent triangle.

ASA = angle, side, angle :
2 angles and 1 included side are equal, we can prove they are congruent triangle.

AAS = angle, angle, side :
2 angle and 1 non-included side are equal, we can prove they are congruent triangle.

RHS = right-angle, hypotenuse(直角三角形的斜邊), side :
1 right angle, 1 hypotenuse, 1 side are equal,we can prove they are congruent triangle.

AAA is used to prove the triangles are similar.
AAA : angle, angle, angle
3 angles are equal,we can prove they are similar triangle.

Hope I can help you.
參考: my textbook & me
2011-05-15 9:08 pm
It is used to prove whether the triangles are congrence.
2011-05-15 9:06 pm
SSS 三對應邊

SAS 兩邊一夾角

ASA 一邊兩鄰角

RHS 直角斜、鄰邊

AAS 兩角一鄰邊
2011-05-15 9:03 pm
SSS是線線線
SAS是線角線
AAA是角角角
ASA是角線角
AAS是角角線
2011-05-15 8:57 pm
These are all congruency tests for triangles.S=sideA=angleR=right angleH=hypotenuse
2011-05-15 8:57 pm
這些都是求證兩個相似三角形的方法

S = Side (邊)
A = Angle (角)


SSS = 三條邊相等
SAS = 邊,角,邊相等 (以順時針方向計)
AAA = 三隻角相等
ASA = 角,邊,角相等
AAS = 角,角,邊相等

而 RHS 比較特別些, 時一隻直角(R)加一條斜邊(H)及一條鄰邊(S).

一般求證兩個三角形是否相同,只要指出三個共同點就可以了.



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