Segments in triangles

Front

What is a perpendicular bisector in a triangle?

Back

A perpendicular bisector is a line segment that divides another segment into two equal parts at a 90-degree angle.

Front

What is the length of segment BC if segment AM is a median in triangle ABC and AM = 34?

Back

The length of segment BC is 34.

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle and is parallel to the third side.

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

If G is the centroid of triangle ABC, what is the relationship between the segments BG and BE?

Back

The centroid divides each median into two segments, with the segment connecting the vertex to the centroid being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

Front

How do you find the length of a median in a triangle?

Back

The length of a median can be found using the formula: m = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median, and c is the length of the side opposite the median.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect and it divides each median into a 2:1 ratio.

Front

What is the relationship between the sides of a triangle and its midsegment?

Back

The length of a midsegment is half the length of the third side of the triangle and is parallel to that side.

Front

How can you determine if a line is a perpendicular bisector?

Back

A line is a perpendicular bisector if it intersects a segment at its midpoint and forms right angles with that segment.

Front

What is the formula for finding the area of a triangle using the base and height?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.