1) Consider the following: A D B Let å denote the defect of a triangle. One of the following two statements can be proved in Neutral Geometry and the other cannot. Prove the one that can be proved and explain why the other cannot be proved in Neutral Geometry: S: 8(ACD) < 8(ABC) T: 8(ACD) ≤ 8(ABC)

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1) Consider the following:
A
C
D
B
Let 8 denote the defect of a triangle. One of the following two statements can be proved
in Neutral Geometry and the other cannot. Prove the one that can be proved and explain
why the other cannot be proved in Neutral Geometry:
S: 8(ACD) < 8(ABC)
T: 8(ACD) ≤ 8(ABC)
Transcribed Image Text:1) Consider the following: A C D B Let 8 denote the defect of a triangle. One of the following two statements can be proved in Neutral Geometry and the other cannot. Prove the one that can be proved and explain why the other cannot be proved in Neutral Geometry: S: 8(ACD) < 8(ABC) T: 8(ACD) ≤ 8(ABC)
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