Question

the segment joining a vertex to the middle of the opposite side of a triangle is called the
select one:
a. angle bisector
b. altitude
c. perpendicular bisector
d. median

which type of triangle has altitudes that form outside the triangle itself?
select one:
a. equiangular
b. right
c. acute
d. obtuse

Explanation:

For the first question:

• An angle bisector splits a vertex angle into two equal parts.
• An altitude is a perpendicular segment from a vertex to the opposite side.
• A perpendicular bisector is a line that bisects a side at a right angle, not necessarily from a vertex.
• A median is defined as the segment joining a triangle's vertex to the midpoint of the opposite side.

For the second question:

• Equiangular and acute triangles have all altitudes inside the triangle.
• Right triangles have two altitudes as their legs, with the third inside.
• Obtuse triangles have two altitudes that lie outside the triangle, corresponding to the sides adjacent to the obtuse angle.

Answer:

1. d. median
2. d. obtuse