BASIC GEOMETRY

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10 Οκτ 2013 (πριν από 4 χρόνια και 3 μέρες)

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BASIC GEOMETRY


Lessons 4.2
-
4.5 Theorems (Thms)





In ∆ABC,

1

T物慮gle⁓um⁔桥o牥m

The⁳um映 heea獵牥猠o映the⁡ gle猠in⁡
triangle is 180˚.

m

A‫

B‫

䌠㴠C80


2

B慳攠angle猠Theo牥m

䥦⁴睯⁳ide猠o映愠t物rngle⁡牥⁣ong牵rnt, then
the⁡ gle猠oppo
獩te them⁡牥⁣ong牵rnt.





then




A

3

䍯n癥v獥映B慳e⁁ngle猠
Theorem

䥦⁴睯⁡ gle猠in⁡⁴物慮gle⁡牥⁣ong牵rnt,⁴hen
the⁳ide猠opposite⁴hem⁡牥⁣ong牵rnt.






A⁴hen





4

䕱uil慴e牡氠Theo牥m

䥦⁡ t物rngle⁩猠equil慴e牡氬⁩t⁩猠equi
慮gul慲a







then

C






A

5

䕱uiangul慲⁔heo牥m

䥦⁡ t物rngle⁩猠equiangul慲a⁩t⁩猠equilate牡氮



C






A⁴hen






6

偹thago牥慮⁔桥orem

䥮⁡ 物rht⁴ri慮gle⁁B䌬Cthe⁳qu慲a映 he†
h祰otenu獥⁩s⁥煵慬⁴o⁴he⁳um映 he⁳qu慲
e猠
o映the瑨e爠r睯⁳ides

䥦⁣⁩猠the⁨ypotenu獥
oppo獩te⁲ ght
慮gle),⁣
2

= a
2

+ b
2