Triangle Special Segments

Front

What is an altitude of a triangle?

Back

An altitude is a segment that connects a vertex of the triangle to the opposite side at a right angle (90 degrees).

Front

What is a median of a triangle?

Back

A median is a segment with endpoints at a vertex of the triangle and the midpoint of the opposite side.

Front

What is a midsegment of a triangle?

Back

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

Front

What is an angle bisector in a triangle?

Back

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

Front

How do you identify an altitude in a triangle?

Back

An altitude can be identified as the segment that meets the opposite side at a right angle.

Front

How do you identify a median in a triangle?

Back

A median can be identified as the segment that connects a vertex to the midpoint of the opposite side.

Front

What is the relationship between the median and the centroid of a triangle?

Back

The centroid is the point where all three medians of a triangle intersect.

Front

What is the relationship between the altitude and the orthocenter of a triangle?

Back

The orthocenter is the point where all three altitudes of a triangle intersect.

Front

Can a segment be both a median and an altitude?

Back

Yes, in an isosceles triangle, the segment from the vertex angle to the base can be both a median and an altitude.

Front

What is the formula for finding the length of a median in a triangle?

Back

The length of a median can be calculated 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 opposite side.