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sin 45° = p/h = AB/AC
⇒ 1/√2 = AB/6
⇒ AB = 6/√2 = √(36/2) = √18 = 3√2
by pythagoras theorem ,
BC = √(AC²-AB²)
= √(36-18)
= √18 =3√2
∴ Area = (1/2)*(3√2)*(3√2) = 9 cm²
hope it helps you...
please mark it as brainliest...
^_^
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