Perpendicular, Angle Bisectors & Bisectors in Triangles

Front

What is the point where the three angle bisectors of a triangle intersect?

Back

Incenter

Front

If P is the incenter of triangle JKL, how can you find the length of ML using the Pythagorean theorem?

Back

Use the formula a² + b² = c² to find the missing side.

Front

If x = 2, what is the measure of AC if AC = 8x?

Back

AC = 16

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.

Front

If point O is the circumcenter of a triangle, what does OB represent?

Back

OB represents the distance from the circumcenter to vertex B.

Front

What is the definition of an angle bisector in a triangle?

Back

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

Front

How do you find the inradius of a triangle?

Back

The inradius can be found using the formula r = A/s, where A is the area and s is the semi-perimeter.

Front

What is the relationship between the circumradius and the sides of a triangle?

Back

The circumradius R can be calculated using the formula R = abc/4A, where a, b, c are the sides and A is the area.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

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

Back

Use the formula l = √(ab(1 - c²/(a+b)²)), where a and b are the sides adjacent to the angle and c is the opposite side.