Prove this by using vectors, my friends tries using point A,B,C,D, and on the test, I did exactly what the professor
2026-04-28 12:47:45.1777380465
Prove using vectors that, In any right triangle, the median from the right angle to the hypotenuse equals half the hypotenuse.
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HINT: Let the right angle be at the origin, and then $\vec x$ and $\vec y$ are the vectors for the legs of the right triangle. The vector to the midpoint of the hypotenuse will be $\frac12(\vec x+\vec y)$, and the length of the hypotenuse is $\|\vec x - \vec y\|$. Can you compare their lengths?