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Printjmc
geometry intermediate
Problem
How many units are in the sum of the lengths of the three altitudes in a triangle with sides and ? Express your answer as a decimal to the nearest hundredth.
Solution
We recognize 7, 24, and 25 as a Pythagorean triple. That means the area of the triangle is The altitudes are then easy to find: and Then, our answer is
Final answer
37.72