Search 7,000+ topics

Advanced Triangle Centers: Orthocenter

Read this topic

Explanations 3

The orthocenter of ΔABC\Delta ABCΔABC is the point where the altitudes of ΔABC\Delta ABCΔABC concur. PROOF OF CONCURRENCE: Suppose that ΔABC\Delta ABCΔABC is the Medial Triangle…
By Rithvik Pasumarty
Drawing a Diagram : Constructing the Orthocenter This is fairly easy. Step 1 : Draw a nice, big triangle. Step 2 : Draw the A-altitude and B-altitude. (I'm sure you can approxim…
By Zi Song Yeoh
The three altitudes of a triangle meet at a single point, known as the orthocenter. This is a fact that is far from obvious. One problem with proving this statement is that the …
By Sujay Kazi

Problems 1

Altitudes AP‾\overline{AP}AP and BQ‾\overline{BQ}BQ of an acute triangle △ABC\triangle ABC△ABC intersect at point HHH. If HP=5HP=5HP=5 while HQ=2HQ=2HQ=2, then calculate (BP)(P…