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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 A285 B334 C223 class=

Sagot :

solution

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

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

Where s is the semiperimeter given by:

[tex]s=\frac{a+b+c}{2}=\frac{33.4+28.5+22.3}{2}=42.1[/tex]

And we can find the area on this way:

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

And rounded to the nearest tenth would be:

314.1

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