Definition:
A median
of a triangle is a segment whose endpoints are a vertex and the midpoint of the opposite side.
What is the segment drawn from a vertex in a triangle to the midpoint of the opposite side?
A median
in a triangle is the line segment drawn from a vertex to the midpoint of its opposite side. Every triangle has three medians.
What is a segment that extends from the midpoint of one side of a triangle to the midpoint of another side of the triangle?
22.
A median
of a triangle is a line segment from one verted to the midpoint of the opposite side.
Is a segment that extends from the vertex of a triangle to the opposite side and is perpendicular to the side of the triangle?
An altitude of a triangle
is a line segment from one vertex perpendicular to the opposite side. 24. The point where the perpendicular bisectors of the three sides of a triangle meet is called the circumcenter of the triangle.
What do you call a segment of a triangle that passes through the midpoint of a side of the triangle and is perpendicular to that side?
Perpendicular bisector
.
The perpendicular bisector
of a side of a triangle is a line perpendicular to the side and passing through its midpoint. … A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.
What is the segment of a triangle?
A midsegment of a triangle is a segment that
connects the midpoints of two sides of a triangle
. In the figure D is the midpoint of ̄AB and E is the midpoint of ̄AC .
What is the Orthocentre of triangle?
An orthocenter can be defined as the point of intersection of altitudes that are drawn perpendicular from the vertex to the opposite sides of a triangle. The orthocenter of a triangle is that
point where all the three altitudes of a triangle intersect
.
What are the 4 special segments of a triangle?
Median, altitudes, Perpendicular bisectors, angle bisectors all meet inside the triangle and are all the same. The 4 segments for
an equilateral triangle
are the same and the 4 segments for an isosceles triangle are the same segments from the vertex angle.
What is the shortest side of a 30 60 90 triangle?
And because we know that we cut the base of the equilateral triangle in half, we can see that the side opposite the 30° angle (the shortest side) of each of our 30-60-90 triangles is exactly
half the length of the hypotenuse
.
What segment is drawn from any vertex of a triangle?
Explanation:
The altitude of
a triangle is the perpendicular line segment drawn from the vertex of the triangle to the side opposite to it. It is also known as the height or the perpendicular of the triangle.
What do you call the longest side of a right triangle?
The hypotenuse
of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.
What do you call the perpendicular sides of a right triangle?
The little square at the vertex C shows that the two sides meeting there are perpendicular at that vertex — that's where the right angle is. The side c, opposite the right angle, is called the
hypotenuse
. The other two sides, a and b, are called the legs.
Is the circumcenter equidistant from the vertices?
The
vertices of a triangle
are equidistant from the circumcenter.
Where is the midpoint of a triangle?
Each side of the medial triangle is called a midsegment (or midline). In general, a midsegment of a triangle is a
line segment which joins the midpoints of two sides of the triangle
. It is parallel to the third side and has a length equal to half the length of the third side.
Which line segments do you draw to find the center of a circle circumscribed about a triangle?
Circumcenter
: Where the three perpendicular bisectors of the sides of a triangle intersect (a perpendicular bisector is a line that forms a 90° angle with a segment and cuts the segment in half); the circumcenter is the center of a circle circumscribed about (drawn around) the triangle.
