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Find the area of the triangle. Round to the nearest tenth. a=28.5 b=33.4 c=22.3

Find the area of the triangle. Round to the nearest tenth. a=28.5 b=33.4 c=22.3-example-1
User Bmilesp
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1 Answer

4 votes

solution

for this case we can use the Herons formula given by:


A=\sqrt[]{s(s-a)(s-b)(s-c)}

Where s is the semiperimeter given by:


s=(a+b+c)/(2)=(33.4+28.5+22.3)/(2)=42.1

And we can find the area on this way:


A=\sqrt[]{42.1(42.1-33.4)(42.1-28.5)(42.1-22.3)}=314.05

And rounded to the nearest tenth would be:

314.1

User Mvd
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