Flashcard 5-3

Front

What is a median in a triangle?

Back

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

Front

What does an angle bisector do?

Back

An angle bisector splits an angle into two equal parts.

Front

How do you find the measure of an angle in a triangle?

Back

Use the properties of triangles, such as the sum of angles in a triangle equals 180 degrees.

Front

What is the difference between a median and a midsegment?

Back

A median connects a vertex to the midpoint of the opposite side, while a midsegment connects the midpoints of two sides of a triangle.

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

If a triangle has angles of 50° and 60°, what is the measure of the third angle?

Back

The third angle measures 70° (180° - 50° - 60°).

Front

What is the formula for finding 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 median, and c is the length of 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

How do you determine if a segment is an angle bisector?

Back

If the segment divides the angle into two equal angles, it is an angle bisector.

Front

What is the relationship between the lengths of the sides of a triangle and its angles?

Back

In a triangle, the larger the angle, the longer the opposite side.