Special Segments in Triangles

Front

What is a median in a triangle?

Back

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

Front

What is 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 a midsegment in a triangle?

Back

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

Front

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

Back

A median divides the triangle into two smaller triangles of equal area.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The length of a median can be calculated using the formula: m = 1/2 * √(2a² + 2b² - c²), where a and b are the lengths of the sides adjacent to the vertex and c is the length of the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

What is the significance of an altitude in a triangle?

Back

The altitude is important for calculating the area of a triangle, as the area can be found using the formula: Area = 1/2 * base * height.

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

How do midsegments relate to the sides of a triangle?

Back

A midsegment is parallel to one side of the triangle and its length is half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

What is the difference between a median and an altitude?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude is perpendicular to the opposite side.

Front

Can a segment be both a median and an altitude?

Back

Yes, in an isosceles triangle, the median from the vertex angle to the base is also an altitude.

Tags

CCSS.HSG.CO.C.10