SOLUTION: Determine the area of triangle ABC given the following information: A=12 B=13 C=15

Algebra ->  Trigonometry-basics -> SOLUTION: Determine the area of triangle ABC given the following information: A=12 B=13 C=15      Log On


   

Question 87098: Determine the area of triangle ABC given the following information:
A=12 B=13 C=15
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Use Hero's Formula:
s = perimeter / 2
where
Area+=+sqrt%28s%28s+-+a%29%28s+-+b%29%28s+-+c%29%29
where
a, b, and c are sides
~
s = (12 + 13 + 15) / 2 = (40) / 2 = 20
A+=+sqrt%28s%28s+-+a%29%28s+-+b%29%28s+-+c%29%29
A+=+sqrt%2820%2820+-+a%29%2820+-+b%29%2820+-+c%29%29
A+=+sqrt%2820%2820+-+12%29%2820+-+13%29%2820+-+15%29%29
A+=+sqrt%2820%288%29%287%29%285%29%29
A+=+sqrt%28%284%29%285%29%282%29%284%29%287%29%285%29%29
A+=+5%2Asqrt%28%284%29%282%29%284%29%287%29%29
A+=+10%2Asqrt%28%284%29%282%29%287%29%29
A+=+20%2Asqrt%28%282%29%287%29%29
A+=+20%2Asqrt%2814%29