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Question - Calculation of Hypotenuse in a Right Triangle
math
pythagorean theorem
triangle sides length
right triangle
hypotenuse calculation
Solution:
题目描述了一个直角三角形ABC,其中∠BAC是直角,给出了AB的长度为3,AC的长度为2。由直角三角形的性质知,BC是三角形ABC的斜边。题目要求求出BC的长。根据勾股定理(直角三角形的两条直角边的平方和等于斜边的平方),可以设BC的长为c,得到:AB² + AC² = BC²3² + 2² = c²9 + 4 = c²13 = c²c = √13所以BC的长度为√13。
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