Maths · Arithmetic and Geometric progressions

The perimeter of a triangle is and the ratio between the lengths of its sides is

The perimeter of a triangle \( A B C \) is \( 27 \mathrm{cm} \) and the ratio between the lengths of its sides is 2: 3: 4 find the sides.

  • A. 6,9,12
  • B. 3,6,9
  • C. 3,4,5
  • D. None

Step-by-step solution

Let the sides be 2k, 3k, and 4k. The perimeter is 2k+3k+4k = 9k = 27 cm, so k = 3. Therefore, the sides are 6 cm, 9 cm, and 12 cm.
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