Vector proof question?

2013-01-12 8:34 am
Prove that the midpoints of a hypoteneuse of a right angle triangle is equidistant from the three vertices of the triangle
更新1:

Thanks but I need to use vectors to resolve this question

回答 (1)

2013-01-12 9:26 am
✔ 最佳答案
A triangle has a circumscribed circle. Moreover, If you draw the circumscribed circle of a right triangle, you will notice that the three vertices are in the circumference, and the midpoint of the hypotenuse is the center of the circle. If the midpoint is connected to the three vertices respectively, there are three equal lines (in terms of distance) as they are radii.


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