SOLUTION: A triangle has a perimeter of 105 inches. The lengths of the sides of the triangle are consecutive odd integers. Find the length of the sides and then use Heron’s Formula to find

Algebra ->  Parallelograms -> SOLUTION: A triangle has a perimeter of 105 inches. The lengths of the sides of the triangle are consecutive odd integers. Find the length of the sides and then use Heron’s Formula to find       Log On


   



Question 277770: A triangle has a perimeter of 105 inches. The lengths of the sides of the triangle are consecutive odd integers. Find the length of the sides and then use Heron’s Formula to find the area of a triangle. Show all work to receive credit
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
n+n+2+n+4=105
3n+6=105
3n=99
n=33
A=sqrt(s*(s-a)*(s-b)*(s-c))
where s=105/2=52.5
A=sqrt(52.5*(52.5-33)*(52.5-35)*(52.5-37))
A=526.965