The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
Two of the three lines in a right triangle are perpendicular. Perpendicular lines meet at a 90 degree angle (also called a right angle). All right angle triangles have one right angle.
No. The angle bisector is a line. Where the three lines meet is the median. In an equilateral triangle the INTERSECTION of the angle bisectors is the median.
The angle bisectors of a regular polygon are always concurrent. And the point that they meet at is also the meeting point of the perpendicular bisectors of the sides. If it is a polygon with an odd nmber of sides, the "medians" [line from vertex to mid-point of opposite side] and "altitudes" [perpendicular from vertex to opposite side] will also meet at the same point.
This line is called the bisector (German Halbierende, Dutch bissectrice, Swedish bisektris).In an isosceles triangle the bisector of the side opposite the unequal angle is also perpendicular to that side.In an equilateral triangle all bisectors are perpendicular to the opposite sides.The point in which all bisectors meet in a triangle is called its barycenter (English from Greek meaning "center of gravity") and if the triangle were made of a homogeneous material of infinitesimal height (that is, if it were two-dimensional) it would be indeed its center of gravity.
any isosceles triangle
A Right Triangle is a triangle that has one corner with a 90-degree angle. So a Right Angle is an angle of 90 Degrees or also known as Perpendicular angle.
Equilateral triangles have, by definition, 3 equal sides. This means they also have 3 equal angles (i.e. they are equiangular) with each angle measuring 60 degrees. They have 3 lines of symmetry from each vertex to the midpoint of the opposite side. These lines are the medians, perpendicular bisectors, altitudes, and angle bisectors of the triangle. The point where these three lines intersect is the centroid, incenter, circumcenter, and orthocenter of the triangle. The area of an equilateral triangle is sqrt(3)/4*s where s is the side length of the triangle.
Orthocenter My improvement: The three angle bisectors will intersect at a point called the incenter. At this point it also the center of the largest possible circle within the triangle. Since a circle has a center point, this point within the triangle is called the incenter. The three heights of a triangle will meet at a special point called the orthocenter.
The three lines joining each vertex to the midpoint of the opposite side. They are also the medians, altitudes and perpendicular bisectors of the sides. In an equilateral triangle these are coincident.
Every isosceles or equilateral triangle.
Yes - the altitude of an equilateral triangle is perpendicular to the side chosen as the base and bisects that side and the opposite angle. Also, the altitude of an isosceles triangle when measured from the third side (the side that is not equal to the other two sides) is a perpendicular bisector of the base and also bisects the opposite angle.
Where the diagonals meet. Also where the perpendicular bisectors of the sides meet.
iscoceles triangle! =)
The circumcenter also called incenter. Whichever one you like the best out of these 2.* * * * *Not true!It is the incentre. The circumcentre is where the perpendicular bisectors of the sides meet.Using the incentre as centre, you can draw a circle to which all three sides of the triangle are tangents. The circle is the biggest circle that will fit IN the triangle.Using the circumcentre as centre, you can draw a circle which passes through all three vertices of the triangle. The circle is the smallest circle that will contain (circumscribe) the triangle.
The bisectors of the angles of a triangle are concurrent at a point called the incentre which is also the centre of the inscribed circle that touches all three sides.
The centroid or centre of gravity. It will also be the point where the bisectors of the angles, and the perpendicular bisectors of the sides meet.
Its technical name is the incenter; it's also the center of the largest circle that can be inscribed within the triangle. (It is also equidistant from the nearest point along each of the three sides, if that's not obvious.)
8,536 square meters
Of course it can be. It can be anything like x units each of perpendicular and base, and hypotenuse of square root of 2 times x.