SOLUTION: a triangle has a perimeter of 84 centimeters. Each of the tow longer sides of the triangle is three times as long as the shortest side. find the length of each side of the triangle

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: a triangle has a perimeter of 84 centimeters. Each of the tow longer sides of the triangle is three times as long as the shortest side. find the length of each side of the triangle      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1016287: a triangle has a perimeter of 84 centimeters. Each of the tow longer sides of the triangle is three times as long as the shortest side. find the length of each side of the triangle

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
a triangle has a perimeter of 84 centimeters. Each of the tow longer sides of the triangle is three times as long
as the shortest side. find the length of each side of the triangle
-------------------------------------------------------

Let x = the length as the shortest side.

Then the length of each of two other sides is 3x, according to the condition.

Your equation for the perimeter is

x + 3x + 3x = 84,  or

7x = 84,

hence x = 84%2F7 = 12.

The sides are 12 cm, 36 cm and 36 cm.