Question

An orthocenter is the intersection of three

• A. angle bisectors in a triangle.
• B. Altitudes in a triangle.
• C. medians in a triangle.
• D. perpendicular bisectors in a triangle.

Answer 1

The correct option is B

Altitudes in a triangle.

The explanation for the correct answer:

Option (B):

• Altitude:

An altitude is a line segment that starts at a vertex and runs perpendicular to the line segment opposite that vertex.

• Orthocenter:
  The orthocenter of a triangle is the point at which the triangle's three altitudes meet or intersect.
  The orthocenter of a right-angled triangle is the vertex of the triangle where the right angle is formed.

Hence, option (B) is correct.

The explanation for incorrect options:

Option (A):

An orthocenter is not the intersection of three angle bisectors in a triangle.

Therefore, option (A) is incorrect.
Option (C):
An orthocenter is not the medians in a triangle.

Therefore, option (C) is incorrect.

Option (D):
An orthocenter is not a perpendicular bisector in a triangle.

Therefore, option (D) is incorrect.

Therefore, the correct option is an option (B).