मराठी

The Following Figure Shown a Triangle Abc in Which Ab = Ac. M is a Point on Ab and N is a Point on Ac Such that Bm = Cn Prove That: δAmc≅ δAnb -

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प्रश्न

The following figure shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.

Prove that:  ΔAMC≅ ΔANB

बेरीज

उत्तर

In ΔABC, AB = AC. m and N are points on
AB and AC such that BM = CN
BN and CM are joined

Consider the triangles AMC and ANB
AC = AB         [ given ] 
LA = LA          [ common ]
AM = AN        [ from ( 3 ) ]
∴ By Side-Angel-Side Criterion of congruence, we have ΔAMC≅ ΔANB

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