Special Segments in Triangles

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

Which segment represents a median in triangle ABC?

Back

The segment BZ is the median.

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

Which segment represents an altitude in triangle ABC?

Back

The segment BX is the altitude.

Front

What is an angle bisector?

Back

An angle bisector is a segment that divides an angle into two equal angles.

Front

Which segment represents an angle bisector in triangle ABC?

Back

The segment AZ is the angle bisector.

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

What is the relationship between the lengths of the midsegment and the sides of the triangle?

Back

The length of the midsegment is half the length of the third side.

Front

How do you find the length of a median?

Back

Use the formula: Median = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the vertex and c is the length of the opposite side.

Front

What is the formula for finding the area of a triangle using the altitude?

Back

Area = 1/2 * base * height, where height is the length of the altitude.