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 ->  Surface-area -> 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 110821: 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 edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x, x+2, x+4 are the 3 sides.
x+x+2+x+4=105
3x+6=105
3x=99
x=a=33, b=35 c=37
s=(a+b+c)/2
s=(33+35+37)/2
s=105/2=52.5
Heron's area formula: A=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29
A=sqrt%2852.5%2852.5-33%29%2852.5-35%29%2852.5-37%29%29
A=sqrt%2852.5%2819.5%29%2817.5%29%2815.5%29%29
A=sqrt(277692)
A=562.965
Ed