3D Geometry
Orthocenter in 3D
Grade 12
Question:
<p>If GE and CD are mutually perpendicular, then orthocenter of <span>△</span>ABC must lie on:</p>
<p>(a) median through A</p>
<p>(b) median through C</p>
<p>(c) angle bisector through A</p>
<p>(d) angle bisector through B</p>
Step-by-Step Solution
Key Concept: When two lines are perpendicular in a tetrahedron configuration, the orthocenter of the base triangle lies on a specific median determined by the geometric relationship.
The orthocenter lies on the median through C when GE and CD are mutually perpendicular.
Correct Answer: b