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What is the point where the altitudes to the sides of a triangle all meet?
Wiki User
∙ 13y ago
The ORTHOCENTRE
Wiki User
∙ 13y ago
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What is the point that is equidistant from the sides of a triangle?
The incentre, the point where the bisectors of the angles meet.
What is the difference from a vertex and a point?
A vertex is a point where two line segments or rays meet. For example: a triangle could have 3 possible vertexes, but many more points. The points are not only where two lines meet, but any where on that line, ray, or shape.
Does the base of a pyramid have to be a square?
The base of a pyramid need not be a square. According to the definition of a pyramid, it must only contain triangular sides that meet at a single point. This means the base of a pyramid to virtually be any type of polygon shape, including even a triangle, square, octagon, etc.
Which set of numbers can not represent the lengths of the sides of a triangle?
There are lots of sets of numbers that fit that definition! But the important thing to remember about triangles is the Third Side Rule, or the Triangle Inequality, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides. So you can have a triangle with sides of 3, 4 and 5 because 3 < 4 + 5, 4 < 3 + 5 and 5 < 3 + 4; and because 3 > 5 - 4, 4 > 5 - 3 and 5 > 4 - 3. But you can't have a triangle with sides 1, 2 and 8, for example. Just imagine three pieces of wood or three straws with lengths 1, 2 and 8. Put the longest piece, 8, horizontally on the table. Then put the other two, one at each end of the longest piece. Could those two shorter sides ever meet to form a triangle? No, never!-----------------------------------------------------------------------------------------------------------The length is always positive, so that all real positive numbers can represent the length of sides of a triangle: {x| x > 0}.------------------------------------------------------------------------------------------------------------Whoever added that to my answer, sorry, I beg to differ! The question asked what SET of numbers cannot represent the lengths of the sides of a triangle. There are infinite possibilities for that. While the lengths are always a set of real positive numbers, not every possible set of real positive numbers is a potential set of numbers that represent the lengths of the sides of a triangle!
What is the 2 or more straight lines meet is called?
When 2 or more straight lines meet...the point where they meet is called the point of intersection
It is the common point where the sides of the triangle meet?
The sides of a triangle do not meet in a point, so there is no "the common point".
What is the equation for orthocenter?
The orthocentre of a triangle is the point at which the altitudes meet.
Can the altitudes of a right triangle intersect in the interior of the triangle?
No. Only 2 altitudes can intersect at a point. * * * * * True but even they do not meet in the interior. The altitudes of a right angles triangle meet at the right angled vertex. The vertex is at the boundary of the triangle, not in the interior.
Are the lines that contain the altitudes of a triangle are parallel?
No, they meet at a single point.
How you can find the orthocentre of a triangle?
Draw two altitudes: an altitude is a straight line from a vertex to the opposite side. The three altitudes of a triangle meet at the orthocentre, but two are enough to determine the point.
What is the purpose of an orthocenter?
In short, the orthocenter really has no purpose. There are 4 points of Concurrency in Triangles: 1) The Centroid - the point of concurrency where the 3 medians of a triangle meet. This point is also the triangle's center of gravity. 2) The Circumcenter - the point of concurrency where the perpendicular bisectors of all three sides of the triangle meet. This point is the center of the triangle's circumscribed circle. 3) The Incenter - the point of concurrency where the angle bisectors of all three angles of the triangle meet. Like the circumcenter, the incenter is the center of the inscribed circle of a triangle. 4) The Orthocenter - the point of concurrency where the 3 altitudes of a triangle meet. Unlike the other three points of concurrency, the orthocenter is only there to show that altitudes are concurrent. Thus, bringing me back to the initial statement.
What is the point that is equidistant from the sides of a triangle?
The incentre, the point where the bisectors of the angles meet.
What is the term for the point where the perpendicular bisectors of a triangle's sides meet?
Circumcenter
What is a triangle with two sides?
BiAngle, two lines leave from point A on a sphere and after 180 degrees they meet on point B <><><><> However, by definition, a triangle will always have THREE sides.
What describes the point where three angle bisectors of a triangle meet?
The point where all three angle bisectors meet is the centre of the incircle - the circle which touches all the sides of the triangle (alternatively described as the circle for which the sides of the triangle are tangents).
Do the altidudes of a triangle always meet in the interior of the triangle?
In a obtuse triangle, the point of concurrency, where multiple lines meet, of the altitudes, called the orthocenter, is outside the triangle. In a right angle, the orthocenter lies on the vertex (corner) of the right angle. In an acute angle, the orthocenter lies inside the triangle.
Are the lines that contain the altitudes of a triangle concurrent?
Yes. They meet at the orthocentre.
