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Do the altidudes of a triangle always meet in the interior of the triangle?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
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What are the angles of a triangle?
The 3 interior angles of any triangle will always add up to 180 degrees.
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.
Where is the center of the largest circle you could draw inside a triangle?
It's at the point where the bisectors of the triangle's interior angles meet.
What relationship exists regarding the angles in a triangle?
The interior angles of a triangle always add up to 180°Because the interior angles always add to 180°, every angle must be less than 180°The bisectors of the three interior angles meet at a point, called the incenter, which is the center of the incircle of the triangle.Note The interior angles only add to 180° when the triangle is planar, meaning it is lying on a flat plane. If the triangle is not planar, for example if it is lying on the curved surface of a sphere, the angles do not add to 180°.
What do you called the intersection point of angle bisector?
The three angle bisectors in a triangle always intersect in one point, and this intersection point always lies in the interior of the triangle. The intersection of the three angle bisectors forms the center of the circle in- scribed in the triangle. (The circle which is tangent to all three sides.) The angle bisectors meet at the incenter which has trilinear coordinates.
What are the properties of the incenter of a triangle?
The incenter of a triangle is always inside it. The incenter is where all of the bisectors of the angles of the triangle meet. The incenter is equidistant from each side of the triangle
Can a triangle have one acute angles?
nope. if it did, the two other ends wouldn't be able to meet with obtuse angles. A triangle must have two or three acute angles. A triangle always has interior angles that sum to 180 degrees. If a triangle had only one acute angle, the sum of its angles would be more than 180 degrees, which is not possible.
Properties of the incenter of a triangle?
B. The incenter is equidistant from each side of the triangle. C. The incenter is where all of the bisectors of the angles of the triangle meet. D. The incenter of a triangle is always inside it.
Could a right triangle ever be an equilateral triangle?
No, never. There's more than one way to get at it: -- The angles of an equilateral triangle are all equal. Since the interior angles of any triangle always add up to 180 degrees, the angles of an equilateral triangle are each 60 degrees. There's no right angle. -- A right triangle is a triangle with an interior right angle. An equilateral triangle has three equal angles. If it were a right triangle, each angle would be a right angle. Then: -- the three interior angles would add up to 270 degrees, which is impossible in a triangle; and -- two sides would be parallel to each other, they would never meet, and there could be no triangle. -- The sides of a right triangle satisfy the Pythagorean equation: A2 + B2 = C2. If all three sides were equal, then you'd have (two times the square of a number) equal to (the square of the same number), which isn't possible. -- Remember that the 'hypotenuse' of a right triangle is the longest side. But an equilateral triangle can't have a 'longest' side.NOA right triangle always has a 90 degree angle and an equilateral triangle always has three 60 degree angles, so no.
What are the characteristic of a triangle?
It is a plane shape bounded by three straight lines that meet [pairwise] at three distinct vertices.
Does a triangle always have diagonal lines?
The sides of the triangle will always meet at angles such that two of them will appear 'diagonal'. But these are not defined as diagonal lines. There are actually no diagonals intersecting any triangle. Try drawing one and connecting the vertices - it doesn't work and you simply end up tracing over the lines that define the triangle.
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.
