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Question

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


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

The correct option is 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

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

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

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

So the given option D is rejected

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