Question

Which of the following represent correct pairs of height of the triangle and its respective base?

• A. Base - AB, height- CE
• B. Base - BC, height- AD
• C. Base - AC, height- FB
• D. Base - AB, height- BF

Answer 1

Answer: (A), (B), (C)

Base - AC, height- FB

Option A: Base - AB, height- CE

The perpendicular line drawn from the vertex 'C' to the line AB is called height of the triangle ABC and it is equal to $CE$.

Since, CE is perpendicular to AB, AB is the base of triangle ABC.
Base of the triangle ABC $=AB$
Height of the triangle $=CE$

$\to Accepted$

Option B: Base - BC, height- AD

The perpendicular line drawn from the vertex 'A' to the line BC is called height of the triangle ABC and it is equal to $AD$.

Since, AD is perpendicular to BC, BC is the base of triangle ABC.
Base of the triangle ABC $=BC$
Height of the triangle $=AD$

$\to Accepted$

Option C: Base - AC, height- FB

The perpendicular line drawn from the vertex 'B' to the line AC is called height of the triangle ABC and it is equal to $BF$.

Since, BF is perpendicular to AC, AC is the base of triangle ABC.
Base of the triangle ABC $=AC$
Height of the triangle $=BF$

$\to Accepted$


Option D: Base - AB, height- BF

The perpendicular line drawn from the vertex 'C' to the line AB is called height of the triangle ABC and it is equal to $CE$.

Since, CE is perpendicular to AB, AB is the base of triangle ABC.
Base of the triangle ABC $=AB$
Height of the triangle $=CE$

$\to \text{So the given option D is rejected}$