SOLUTION: The side of a triangle is twice the length of the shortest side and the middle length side is 9 inches longer than the shortest side. If the perimeter is 65 inches what are the len
Algebra.Com
Question 1003430: The side of a triangle is twice the length of the shortest side and the middle length side is 9 inches longer than the shortest side. If the perimeter is 65 inches what are the lenths of the 3 sides?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The side of a triangle is twice the length of the shortest side and
a = 2c
the middle length side is 9 inches longer than the shortest side.
b = c + 9
If the perimeter is 65 inches what are the lengths of the 3 sides?
a + b + c = 65
Replace a and b
2c + (c+9) + c = 65
4c = 65 - 9
4c = 56
c = 56/4
c = 14 is the shortest side
then
a = 2(14)
a = 28 is the longest side
and
b = 14 + 9
b = 23 is the middle side
:
:
Check this: 28 + 23 + 14 = 65
RELATED QUESTIONS
The perimeter of a triangle is 62 inches. Find the length of the 3 sides if one side is... (answered by richwmiller)
A triangle has a perimeter of 31 inches. Find the lengths of the three sides if one side... (answered by checkley77)
one side of a triangle is 3 inches shortere than twice the length of the shortest side.... (answered by stanbon)
The shortest side of a triangle is three inches shorter than the longest side. The... (answered by Fombitz)
the perimeter of a triangle is 142cm. the medium side is 8cm longer than the shortest... (answered by josgarithmetic)
The shortest side of a triangle is 8 inches less than the medium side, and the longest... (answered by rfer)
A triangle has a perimeter of 91 inches. Find the length of the three sides if one side... (answered by harpazo)
The length of the longest side of a triangle is 5 inches more than twice the length of... (answered by josgarithmetic,ikleyn,greenestamps)
The third side of a triangle is 4 inches longer than the shortest side and 2 inches... (answered by sachi)