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What is the maximum? What are the principles?

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1 Answer
Jun 20, 2018

Answer:

#"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.