Centroid and Orthocenter Answers

In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.

If an orthocenter lies inside of a triangle, then the triangle must be

In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet.

In which figure is point G an orthocenter?

Triangle D E F is shown. Lines are drawn from each point to the opposite side and intersect at point G. Line segments D C, E B, and F A are formed and cut each side into 2 equal parts.

Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units.

The steps shown can be used to prove that the medians of a triangle meet at a point.1. Define segments BD and CE as medians of triangle ABC.2. Write linear equations for and .3. Use a system of linear equations to solve for the coordinates of intersection point G.4. Write the equation of .5. Write an expression for the midpoint of BC, point F. 6. Show that point F lies on .7. ?

An orthocenter is the intersection of three

In which type of triangle is the orthocenter on the perimeter of the triangle?

In the diagram, GB = 2x + 3..