
To find the type of

Answer to Problem 9CE
An equilateral triangle
Explanation of Solution
Given:
Triangle which has three angle bisectors that are also altitudes and medians
Concept used:
Properties of an equilateral triangle
Median is a line segment joining a vertex of the triangle with the midpoint of the opposite side.
Angle Bisector is a line segment joining a vertex of a triangle with the opposite side such that the angle at the vertex is split into two equal parts.
Altitude is a line segment joining a vertex of a triangle with the opposite side such that the segment is perpendicular to the opposite side.
In an equilateral triangle all three line are all types that is each angle bisector is also an altitude as well as a median.
Conclusion:
Therefore, an equilateral triangle has three angle bisectors that are also altitudes and medians.
Chapter 4 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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