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The altitude forms a right angle triangle with half the side length and one side as the hypotenuse. Using Pythagoras: (½side)² + altitude² = side² → altitude² = side² - ¼side² → altitude² = ¾side² → altitude = (√3)/2 × side → altitude = (√3)/2 × 6 = 3√3 ≈ 5.2
The point where the three altitudes of a triangle intersect is called the orthocenter. This can be located either inside or outside of the triangle.
The points of intersection are: (7/3, 1/3) and (3, 1)
its called the orthocenter