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So, ATQ we need to prove that MP = NP This can be done by proving that Triangle MBP is congruent to NBP
Let's do,
Angle MBP = Angle NBP (BO is bisector of ABC)
BP = BP (common)
Angle BMP = Angle BNP ( Both are equal to 90°)
Therefore, we can say Triangle MBP is congruent to NBP (ASA rule)
Hence, we can say MP = NP (CPCT)
In case you don't know
- ASA (Angle Side Angle )
- CPCT (Corresponding parts of congruent Triangles )
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