SOLUTION: A triangle with sides 32 cm, 60 cm, and 68 cm is cut into parts that form a quadrilateral. Find, in cm^2, the area of the largest quadrilateral that can be formed.

Question 1101877: A triangle with sides 32 cm, 60 cm, and 68 cm is cut into parts that form a quadrilateral. Find, in cm^2, the area of the largest quadrilateral that can be formed.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
ANY quadrilateral that is formed using the pieces of a triangle that has been cut into pieces has the same area as the triangle.

The given triangle is a right triangle (side lengths 4*8=32, 4*15=60, and 4*17=68; so a scalar multiple of the 8-15-17 Pythagorean Triple). Its area is one-half base times height, using the two legs as the base and height. So

960 square centimeters.
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