Front

What is the length of segment AD if it measures 8 units?

Back

AD = 8 units.

Front

If G is the centroid of triangle ABC and BE = 18, what is the length of segment BG?

Back

BG = 12 units.

Front

What is the length of segment DC if it measures 4 units?

Back

DC = 4 units.

Front

Which segment represents an altitude in a triangle?

Back

Segment BX represents an altitude.

Front

Which segment represents a median in a triangle?

Back

Segment BZ represents a median.

Front

Define a centroid in a triangle.

Back

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

Front

What is the difference between an altitude and a median in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the opposite side, while a median connects a vertex to the midpoint of the opposite side.

Front

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

Back

To find the length of a median, use the formula: m = √(2a² + 2b² - c²) / 4, where a and b are the lengths of the sides adjacent to the median, and c is the length of the opposite side.

Front

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

Back

Area = 1/2 * base * height.

Front

What is the relationship between the lengths of the segments created by a centroid?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.