Special Segments in Triangles

Front

What are altitudes in a triangle?

Back

Altitudes are segments drawn from a vertex of a triangle perpendicular to the opposite side.

Front

What is the Incenter of a triangle?

Back

The Incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all sides of the triangle.

Front

What is the purpose of a median in a triangle?

Back

A median is a segment that connects a vertex of a triangle to the midpoint of the opposite side, dividing the triangle into two smaller triangles of equal area.

Front

What is a perpendicular bisector?

Back

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

Front

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

Back

Use the properties of triangles, such as the Pythagorean theorem or triangle similarity, to calculate the length.

Front

What is the relationship between angles and sides in a triangle?

Back

In a triangle, the larger the angle, the longer 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, and it is equidistant from all vertices.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is the center of mass of the triangle.

Front

How do you determine the largest angle in a triangle?

Back

The largest angle is opposite the longest side of the triangle.

Front

What is the formula for finding the area of a triangle using the base and height?

Back

Area = 1/2 * base * height.