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√2
Step-by-step explanation:
in ΔABC and ΔAMN
segment MN ║ BC
∠AMN=∠ABC (corresponding angle)
∠ANM=∠ACB (corresponding angle)
∠A si common
so ΔABC≅ΔAMN (CPCT)
given that 2*(area of ΔAMN )= area of ΔABC
so