Segments in triangles

Front

What is a median of a triangle?

Back

A segment with endpoints at the vertex and midpoint of the opposite side.

Front

What is the length of segment AB if it is given as an option: 6, 11, 17, 68?

Back

17

Front

If AC=42, what is the length of DF if the options are: 21, 84, 14, 28?

Back

21

Front

Which segment represents a median in a triangle: Segment BX, Segment AZ, Segment AC, Segment BZ?

Back

Segment BZ

Front

What is the value of y if the options are: 3, -3, No Solution, 5?

Back

3

Front

Define a centroid in a triangle.

Back

The point where the three medians intersect.

Front

What is the relationship between the lengths of the segments created by a median in a triangle?

Back

The median divides the triangle into two triangles of equal area.

Front

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

Back

Median length = √(2a² + 2b² - c²) / 4, where a, b, and c are the lengths of the sides.

Front

What is the definition of a segment in geometry?

Back

A part of a line that is bounded by two distinct endpoints.

Front

How do you find the midpoint of a segment?

Back

Add the coordinates of the endpoints and divide by 2.