Geometry and TrigonometryHardLongest side from a ratio and a perimeter
Geometry and Trigonometry practice question
The sides of a triangle are in the ratio 3 : 4 : 5, and its perimeter is 60 centimetres. What is the length, in centimetres, of its longest side?
Answer: 25
The sides are 3k, 4k, and 5k with 12k = 60, so k = 5 and the longest side is 25.
Common wrong answers
- If you answered 5
- 5 is the ratio number, not the length.
- If you answered 15
- 15 is the shortest side.
- If you answered 20
- 20 is the middle side.
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