Using theorem 6.2, prove that the line joining the midpoints of any two sides of a triangle is parallel to the third side.
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Given :- In ∆ABC, P is midpoint on AB and Q is midpoint on AC.
To prove :- PQ || BC.
Proof :- In∆ ABC, P and Q are m.p of side AB and AC, respectively.
AP = PB and AQ = QC
AP/PB = AQ/QC = 1
:-Using converse theorem of Proportionality we get,
PQ || BC. ...........(proved)
=======================================
☺ HOPE IT HELPS YOU ☺
...... THANKS......
=========================================
Given :- In ∆ABC, P is midpoint on AB and Q is midpoint on AC.
To prove :- PQ || BC.
Proof :- In∆ ABC, P and Q are m.p of side AB and AC, respectively.
AP = PB and AQ = QC
AP/PB = AQ/QC = 1
:-Using converse theorem of Proportionality we get,
PQ || BC. ...........(proved)
=======================================
☺ HOPE IT HELPS YOU ☺
...... THANKS......
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65
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