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F3 數學題目(百份數)
If the base of a triangle is increased by 60%, find the percentage change in the height of the triangle so that its area remain unchanged.
最佳解答:
Question If the base of a triangle is increased by 60%, find the percentage change in the height of the triangle so that its area remain unchanged. Solution Let the original height be h1 and the new height be h2. Area of the triangle is unchanged, that is, base * h1 / 2 = 1.6*base * h2 / 2 base * h1 = 1.6*base * h2 h1 = 1.6 * h2 h2 = h1/1.6 = 0.625 h1 The percentage change in height is (h2 - h1)/h1 * 100% = (0.625 h1 - h1)/h1 * 100% = -37.5%
其他解答:
F3 數學題目(百份數)
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發問:If the base of a triangle is increased by 60%, find the percentage change in the height of the triangle so that its area remain unchanged.
最佳解答:
Question If the base of a triangle is increased by 60%, find the percentage change in the height of the triangle so that its area remain unchanged. Solution Let the original height be h1 and the new height be h2. Area of the triangle is unchanged, that is, base * h1 / 2 = 1.6*base * h2 / 2 base * h1 = 1.6*base * h2 h1 = 1.6 * h2 h2 = h1/1.6 = 0.625 h1 The percentage change in height is (h2 - h1)/h1 * 100% = (0.625 h1 - h1)/h1 * 100% = -37.5%
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