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  3. If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar

If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar

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问题 If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the area?
选项 A、75％
B、100％
C、125％
D、150％
E、225％
答案C
解析 原等边三角形的三条边都扩大50％，即原三角形和新三角形的三边比均相等(SSS即边边边原则)，所以原三角形和现三角形相似。二者相似比=1：1.5，则二者面积比=相似比的平方=(12)：(1.52)=1：2.25，即新三角形是原三角形面积的225％，也就比原来增加了125％，故答案为C。
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