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MathNet 2023-part-03 — 191 problems (EN–VI) Question 156

Math Olympiad Vault · MathNet 2023-part-03 — 191 problems (EN–VI)

Question 156

The base of the pyramid $V A B C$ is the isosceles triangle $A B C$, in which $A B = A C = 6 \sqrt{2}\ \mathrm{~cm}$ and $B C = 4 \sqrt{6}\ \mathrm{~cm}$. The lateral edges of the pyramid are $\sqrt{51}\ \mathrm{~cm}$. Determine the distance between the lines $A B$ and $V C$.