Crossword Solver > found answer > ORTHOCENTERS

Welcome to Anagrammer Crossword Genius! Keep reading below to see if orthocenters is an answer to any crossword puzzle or word game (Scrabble, Words With Friends etc). Scroll down to see all the info we have compiled on orthocenters.

CROSSWORD
ANSWER

orthocenters

Searching in Crosswords ...

The answer ORTHOCENTERS has 0 possible clue(s) in existing crosswords.

Searching in Word Games ...

The word ORTHOCENTERS is VALID in some board games. Check ORTHOCENTERS in word games in Scrabble, Words With Friends, see scores, anagrams etc.

Searching in Dictionaries ...

Definitions of orthocenters in various dictionaries:

No definitions found

Word Research / Anagrams and more ...

Keep reading for additional results and analysis below.

Orthocenters might refer to
In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude. The intersection of the extended base and the altitude is called the foot of the altitude. The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex. It is a special case of orthogonal projection. * Altitudes can be used in the computation of the area of a triangle: one half of the product of an altitude's length and its base's length equals the triangle's area. Thus, the longest altitude is perpendicular to the shortest side of the triangle. The altitudes are also related to the sides of the triangle through the trigonometric functions.* In an isosceles triangle (a triangle with two congruent sides), the altitude having the incongruent side as its base will have the midpoint of that side as its foot. Also the altitude having the incongruent side as its base will be the angle bisector of the vertex angle. * 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. * In a right triangle, the altitude drawn to the hypotenuse c divides the hypotenuse into two segments of lengths p and q. If we denote the length of the altitude by hc, we then have the relation * * * * * * h * * c * * * = * * * p * q * * * * * {\displaystyle h_{c}={\sqrt {pq}}} * (Geometric mean theorem) * For acute and right triangles the feet of the altitudes all fall on the triangle's sides (not extended). In an obtuse triangle (one with an obtuse angle), the foot of the altitude to the obtuse-angled vertex falls in the interior of the opposite side, but the feet of the altitudes to the acute-angled vertices fall on the opposite extended side, exterior to the triangle. This is illustrated in the adjacent diagram: in this obtuse triangle, an altitude dropped perpendicularly from the top vertex, which has an acute angle, intersects the extended horizontal side outside the triangle.

Orthocenters might refer to

In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude. The intersection of the extended base and the altitude is called the foot of the altitude. The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex. It is a special case of orthogonal projection.
* Altitudes can be used in the computation of the area of a triangle: one half of the product of an altitude's length and its base's length equals the triangle's area. Thus, the longest altitude is perpendicular to the shortest side of the triangle. The altitudes are also related to the sides of the triangle through the trigonometric functions.* In an isosceles triangle (a triangle with two congruent sides), the altitude having the incongruent side as its base will have the midpoint of that side as its foot. Also the altitude having the incongruent side as its base will be the angle bisector of the vertex angle.
* 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.
* In a right triangle, the altitude drawn to the hypotenuse c divides the hypotenuse into two segments of lengths p and q. If we denote the length of the altitude by hc, we then have the relation
*
*
*
*
*
* h
*
* c
*
*
* =
*
*
* p
* q
*
*
*
*
* {\displaystyle h_{c}={\sqrt {pq}}}
* (Geometric mean theorem)
* For acute and right triangles the feet of the altitudes all fall on the triangle's sides (not extended). In an obtuse triangle (one with an obtuse angle), the foot of the altitude to the obtuse-angled vertex falls in the interior of the opposite side, but the feet of the altitudes to the acute-angled vertices fall on the opposite extended side, exterior to the triangle. This is illustrated in the adjacent diagram: in this obtuse triangle, an altitude dropped perpendicularly from the top vertex, which has an acute angle, intersects the extended horizontal side outside the triangle.

Anagrammer Crossword Solver is a powerful crossword puzzle resource site. We maintain millions of regularly updated crossword solutions, clues and answers of almost every popular crossword puzzle and word game out there. We encourage you to bookmark our puzzle solver as well as the other word solvers throughout our site. Explore deeper into our site and you will find many educational tools, flash cards and plenty more resources that will make you a much better player. Orthocenters: In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e....