Question

In following fig., ABCD is a square. A cirde is drawn with centre A so that it cuts AB and AD at Mand N respectively. Prove that  Δ DAM  ≅  Δ .BAN. 

Answer 1

In Δ DAM and Δ BAN 

AN = AM     (radii of same circle)

AD = AB      (sides of square ABCD)

∠ DAM = ∠ BAN  (common)

∴ Δ DAM ≅  Δ BAN.