Can anyone write three points about the Altitudes of a triangle?
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Step-by-step explanation:
- The three altitudes of a triangle intersect at the orthocenter, which for an acute triangle is inside the triangle.
- In a right triangle, the altitude from each acute angle coincides with a leg and intersects the opposite side at (has its foot at) the right-angled vertex, which is the orthocenter.
- It is common to mark the altitude with the letter h (as in height), often subscripted with the name of the side the altitude is drawn to.
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- The altitude of a triangle is the perpendicular from the base to the opposite vertex. (The base may need to be extended if its an obtuse angled triangle).
- Since there are three possible bases, there are also three possible altitudes.
- The three altitudes intersect at a single point, called the orthocenter of the triangle.
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