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      Question

      The ratio of the height to the base of a triangle is

      3:2. If the sum of the height and base of the triangle is 25 cm, what is the area of the triangle?
      A 35 cm┬▓ Correct Answer Incorrect Answer
      B 75 cm┬▓ Correct Answer Incorrect Answer
      C 85 cm┬▓ Correct Answer Incorrect Answer
      D 45 cm┬▓ Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the height and base of the triangle be 3x cm and 2x cm, respectively. According to the question: 3x + 2x = 25 So, x = 25 / 5 = 5 Now, the area of the triangle = ┬╜ ├Ч base ├Ч height = ┬╜ ├Ч 2x ├Ч 3x = 3x┬▓ = 3 ├Ч 25 = 75 cm┬▓.

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