In a certain triangle, the longest side is 1 foot longer than the second longest side, and the second-longest side is 1 foot longer than the shortest side. If the perimeter is 21 feet, how many feet long is the shortest side? x = shortest side x + 1 = second-longest side {second-longest side is 1 ft longer than shortest side} x + 2 = longest side {longest-side is 1 ft longer than second-longest side} Perimeter is the distance around the outside of an object. x + x + 1 + x + 2 = 21 {added up all sides and set equal to 21} 3x + 3 = 21 {combined like terms} 3x = 18 {subtracted 3 from each side} x = 6 {divided each side by 3} 6 ft is the shortest side - Algebra House
0 Comments
Your comment will be posted after it is approved.
Leave a Reply. |
Examples
All
|