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Let A(0,6,6), B(6,6,0) and C(6,0,6) are three points and point D is moving on the line x+z-3=0=y. If G is centroid of DeltaABC, then minimum value of GD is |
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Answer» `SQRT((47)/2)` Let D=(a,0,3-a) `GD^(2)=(a-4)^(2)+(0-4)^(2)+(3-a-4)^(2)` `=2a^(2)-6a+33`. For minimum of `GD^(2),a=3/2` `GD_("MIN") = sqrt(2.9/4-6.3/2+33)=sqrt(57/2` |
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