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?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 = ½ × base × height = ½ × 2x × 3x = 3x² = 3 × 25 = 75 cm².
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