Perpendicular Bis., Angle Bis., Medians & Altitudes

Front

What is a median in a triangle?

Back

A median is a line segment drawn from a vertex to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

An altitude is a segment drawn from a vertex perpendicular to the opposite side.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is an angle bisector?

Back

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

Front

If GT is a median, what can be said about segments GF and GT?

Back

GF is equal to GT, as a median divides the opposite side into two equal segments.

Front

In triangle ABC, if D is the midpoint of BC, what is AD?

Back

AD is the median of triangle ABC.

Front

How do you find the length of a median?

Back

Use the formula: Median = 1/2 * sqrt(2AB^2 + 2AC^2 - BC^2), where A, B, and C are the vertices of the triangle.

Front

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

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height (where height is the length of the altitude).

Front

If a triangle has sides of lengths 8, 6, and 10, what is the length of the median to the side of length 10?

Back

The length of the median can be calculated using the median formula, resulting in 7.5.

Front

What is the significance of the centroid in relation to medians?

Back

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