Homework 5-5 Median & Altitude

Front

What is the definition of a median in a triangle?

Back

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

Front

What is the centroid of a triangle?

Back

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

Front

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

Back

Front

What is the relationship between the centroid and the lengths of the segments it creates on the median?

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

If AG = 3x + 15 and BG = 5x + 9, how do you find the value of x?

Back

Front

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

Back

Front

What is the significance of the altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side, and it is used to calculate the area of the triangle.

Front

How do you calculate the area of a triangle using its base and height?

Back

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

If m∠YBZ = 90°, what type of angle is it?

Back

It is a right angle.