AlgebraHardLongest side of a triangle from its perimeter
Algebra practice question
The sides of a triangle have lengths 2x − 1, x + 4, and 3x. Its perimeter is 27. What is the length of the longest side?
Answer: 12
6x + 3 = 27 gives x = 4, so the sides are 7, 8, and 12.
Common wrong answers
- If you answered 4
- 4 is x, not a side.
- If you answered 7
- 7 is the shortest side.
- If you answered 8
- 8 is the middle side.
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