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Work out the are of triangle ABC (image attached)

Work out the are of triangle ABC (image attached)-example-1
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Answer: 4 radical 10

Reason:
First you have to add 3 radical 2 and radical 2, getting 4 radical 2.

Then you multiple 4 radical 2 by 2 radical 5 and you get 8 radical 10.
Then you divide that by 2 to get the area of a triangle so then it comes back to 4 radical 10
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