Show that the opposite angle of the greatest side is the greatest angle of the drawn triangle. Measurements: 5cm,6cm,7cm. Pls answer.
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construction:-draw YP where P lies on the line XZ,
in this triangle it is clear that YZ>YP
To prove :- ∠XYZ > ∠XZY
Statement
1. In ∆XYP, ∠XYP = ∠XPY
2. ∠XPY = ∠XZY + ∠PYZ
3. Therefore, ∠XPY > ∠XZY.
4. Therefore, ∠XYP > ∠XZY.
5. But ∠XYZ > ∠ XYP.
Reason(reasons of above statements)
1. XY = XP
2. In ∆YPZ, exterior ∠XPY = Sum of interior opposite angles, ∠PZY (=∠XZY) and ∠PYZ.
3. From statement 2.
4. Using statements 1 in 3.
5. ∠XYZ = ∠XYP + ∠PYZ
6. Using statements 5 and 4.
Therefore, ∠XYZ > ∠XZY. (Proved)
Now u can replace the measurements....
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