Question content area top

Part $1$

Among all triangles with a perimeter of

$39$

$$units$,$ find the dimensions of the triangle with the maximum area. It may be easiest to use$$ Heron's formula, which states that the area of a triangle with side length$$ a$,$ b$,$ and c is

AequalsStartRoot s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis EndRoot$,$

where $2$s is the perimeter of the triangle.