Question

Two altitudes of a triangle have lengths 12 and 14. What is the longest possible length of the third altitude, if it is a positive integer?

I tried using the triangle inequality but to no avail...how would I do this?

Answer 1

http://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.577996.html

Answer 2

This is a question from the Intermediate Algebra homework. People shouldn't be asking for the answer on different websites. Thanks!