Using the formulas :
A=2AB+(a+b+c)h
AB=√(s(s﹣a)(s﹣b)(s﹣c) )
s = (a+b+c) / 2
Solving for A:
A=ah+bh+ch+1 /2 √(﹣a∧4+2(ab)∧2+2(ac)∧2﹣b∧4+2(bc)∧2﹣c∧4)
=2·1.7+3·1.7+2·1.7+1 /2· √(﹣2∧4+2·(2·3)∧2+2·(2·2)∧2﹣3∧4+2·(3·2)∧2﹣24)
≈15.86863
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