# 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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1. Arsh Singh. yourmathguru.com. India

2. Kenny Wong, Jurong Junior College. Singapore

3.  Jerome Bechayda. Laguna State Polytechnic University,San Pablo City Campus

4. John Rey Jimenez. Negros Occidental High School

5. Jomari Tan. DLSU

6. Sebastian Pineda Berrio. Colombia

7. John Christopher Castro Samulde, University of Mindanao.Davao City

8. Hrushikesh Bhope. St Xavier’s High School. India

### 2 Responses

1. 6 sq. cm

2. kryptonj123 says:

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.