construct orthocentre of an obtused angle triangle
Answers
It turns out that all three altitudes always intersect at the same point - the so-calledorthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.
Answer:
Step-by-step explanation:
Obtuse Triangle:
Suppose we have an obtuse triangle, as show below:
Where would the orthocenter be? We have already seen that the orthocenter can appear Obtuse Triangle:
Suppose we have an obtuse triangle, as show below:
Where would the orthocenter be? We have already seen that the orthocenter can appear to “move” depending on the triangle. Let’s see what happens with this triangle. When we create the altitudes of each side, we get:
We can see that the orthocenter is now outside the triangle! Why does this happen? Well, it is a little bit harder to see how to construct the altitudes of an obtuse triangle because two out of the three altitudes cannot be drawn inside the triangle. For example, if we wanted to draw the altitude that connects the vertex A to the side BC, we would have to extend the segment BC (shown wi
From here, we can see that the line segment AE and EC areother.
We can clearly see that the orthocenter is on the same line as point E, which is the line that represents the altitude. Similarly, we can see the same thing when we construct the altitude that passes through the vertex C and the line segment AB:
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