SOLUTION: A triangle has sides 33, 56, and 65. What is the length of the altitude to the longest side using similar triangles only?

Question 1190315: A triangle has sides 33, 56, and 65. What is the length of the altitude to the longest side using similar triangles only?
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
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The given triangle is a right-angled, since  33^2 + 56^2 = 4225 = 65^2.


The simplest way to find the altitude in this case is to use two different expressions for the triangle area.


They will lead you to the final formula instantly


      the altitude =  = 28   units.    ANSWER

Solved.

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May be, other tutors will solve the problem in a way as requested in the post.

But the way shown in my post is the simplest, shortest and the most straightforward.

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