SOLUTION: In a triangle ABC, side a=5, side b=6, side c=7. What is the area?

Algebra ->  Surface-area -> SOLUTION: In a triangle ABC, side a=5, side b=6, side c=7. What is the area?       Log On


   

Question 1197888: In a triangle ABC, side a=5, side b=6, side c=7. What is the area?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if a=5, b=6, c=7
you can find the area sing the formulas:
A=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29
s=%28a%2Bb%2Bc%29%2F2
so, find s
s=%285%2B6%2B7%29%2F2=9
then
A=sqrt%289%289-5%29%289-6%29%289-7%29%29
A=sqrt%289%284%29%283%29%282%29%29
A=sqrt%28216%29
A=14.696938456699069
A≈14.7