Question

10. ABCD is a parallelogram. AM and BN are respectively, the
Perpendiculars from A and B to DC and CD produced.
Prove that AM = BN.​

Answer 1

Answer:

prove using congruency of triangles

Step-by-step explanation:

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Answer 2

Answer:

AM = BN

Step-by-step explanation:

In the parallelogram ABCD,

AD = BC (The slopes of a parallelogram are equal)

DM = CN (Since AB = CD)

By pythagoras property,

AM^2 + DM^2 = AD^2

Similarly,

BN^2 + CN^2 = BC^2

Thus by further simplification,

AM^2 = BN^2

Thus,

AM = BN

Hope this answer finds you helpful.......