SOLUTION: if a=22, b=14, and c=30, find the area of triangle ABC. a)33 sq units b)121.0 sq units c)130.2 sq units d)143.8 sq units

Algebra ->  Trigonometry-basics -> SOLUTION: if a=22, b=14, and c=30, find the area of triangle ABC. a)33 sq units b)121.0 sq units c)130.2 sq units d)143.8 sq units      Log On


   

Question 211804: if a=22, b=14, and c=30, find the area of triangle ABC.
a)33 sq units
b)121.0 sq units
c)130.2 sq units
d)143.8 sq units
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
a=22, b=14, and c=30
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There is a formula to find the area of a triangle using only the given three sides.
A=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29
where s=%28a%2Bb%2Bc%29%2F2
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Here, s=(22+14+30)/2=33
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So,
A=sqrt%2833%2833-22%29%2833-14%29%2833-30%29%29
A=sqrt%2833%2A11%2A9%2A3%29
A=sqrt%2833%2A33%2A3%2A3%29
A=33*3=99 square units