Let A(2,3,5), B(-1,3,2) and C(,5,) be the vertices of a ABC.

Question

Let $A(2,3,5)$, $B(-1,3,2)$ and $C(\lambda,5,\mu)$ be the vertices of a $	riangle ABC$. If the median through $A$ is equally inclined to the coordinate axes, then:

Accepted Answer

As in Question 303, the median direction is $\left(	frac{\lambda-5}2,1,	frac{\mu-8}2ight)$, equally inclined gives $\lambda=7,\ \mu=10$, which satisfies $10\lambda-7\mu=70-70=0$.

Solutions · 1