Question

What is the maximum? What are the principles?

Answer 1

`"B. 9"`

Explanation:

If `a\ &\ b` are known altitudes of a triangle where `a < b` then the third altitude (`c`) should satisfy the relation

`(ab)/(a + b) < c < (ab)/(b - a) color(white)(...)`[Click here for derivation]

`(6 × 14)/(6 + 14) < c < (6 × 14)/(14 - 6)`

`84/20 < c < 84/8`

`4.2 < c < 10.5`

From the choices given `"B. 9"` is the correct option.