5.4 - Medians & Altitudes

Front

What is a median in a triangle?

Back

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

Front

If BF = 10 in triangle ABC where CF, BE, and AD are medians, what is AF?

Back

AF = 10

Tags

CCSS.HSG.CO.C.10

Front

What special segments intersect at the incenter of a triangle?

Back

Angle Bisectors.

Tags

CCSS.HSG.C.A.3

Front

What is the definition of an altitude in a triangle?

Back

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

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Tags

CCSS.HSG.C.A.3

Front

What type of triangle has its circumcenter and orthocenter outside the triangle?

Back

Obtuse triangle.

Tags

CCSS.HSG.C.A.3

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

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 a midsegment in a triangle?

Back

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

Front

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

Back

Use the formula: Median = 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.

Tags

CCSS.HSG.CO.C.10