SOLUTION: A triangle with sides of 32cm, 60cm and 68cm is cut into parts that form a quadrilateral. Find, in cm2, the area of the largest quadrilateral that can be formed.

Question 1148866: A triangle with sides of 32cm, 60cm and 68cm is cut into parts that form a quadrilateral. Find, in cm2, the area of the largest quadrilateral that can be formed.
Answer by ikleyn(52792) (Show Source): You can put this solution on YOUR website!
.


Notice that   +  = 4624 = ,


so the triangle is a right angled triangle.


Hence, its area is half of the product of the lengths of its legs


    area =  = 960   = 16*60 = 16*4*15 =  = .


Then the side length of the square is   =  = =  = 30.984 cm^2  (approximately).    ANSWER

Solved.

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