Question

The shortest side of triangle ABC is half of the second side and a third of the longest side. how does the perimeter of the triangle compare to longest side?

Answer 1

ok so
shortest side=x
shortest sides is 1/3 of longest side
x=1/3 of longest side
3x=longest side

x is 1/2 of second
x=1/2 times second
2x=second side


perimiter=shortest side+second side+longest side
subsitute 2x for second side and 3x for longest side
perimiter=x+2x+3x
perimiter=6x

compare perimiter and longest side
P:longest side
6x:3x
2x:1x
2:1

perimiter is 2 itmes of longest side