# Freehand Geometry

** Area of triangle:** Two adjacent sides of triangle measures 3 cm and 4 cm. Find the area of the largest possible triangle that can be made with these sides if the third side is also an integer length.

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### Dan

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6 sq. cm

The answer here is 6 sq. cm.

The third side is between 2 and 6 inclusive.

the area of tiangle is A=absinX/2.

The maximum area can be attain if sinx=1. Or if x=90 degrees.

The triangle then is a right triangle.

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