the shortest side of a triangle is 7 inches shorter than the longest side. The middle side is twice as long as the short side. Find the length of all three sides if the perimeter is 31 inches.

Question

anonymous · Answer

short side= x-7 mid= 2(x-7) long=x. (x-7)+2(x-7)+x=31. x-7+2x-14+x=31. 4x-21=31. 4x=52. x=13.

radar · Answer

Let a = length of long side
and b = length of short side.
c= lenght of remaining side.  The following relationships are given.
b=a-7
c=2b
a+b+c = 31 inches.
a+(a-7)+2(a-7)=31
a+a-7+2a-14=31
4a=31+7+14=52
a=13
b=6
c=12

anonymous · Answer

Long side= 13 in. short side= 6 in. middle side = 12. 13+6+12=31