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THE SIDES OTHER THAN HYPOTENUSE OF A RIGHT TRIANGLE ARE OF LENGTHS 16 CM AND 8 CM .FIND THE SIDE OF THE LARGEST SQUARE THAT CAN BE INSCRIBED IN THE TRIANGLE?
Let ABC be a right triangle, right angled at C.

Given, sides other than the hypotenuse of a right triangle is 16 cm and 8 cm.

So, Let AC = 16 cm and BC = 8 cm.

Let PQCR be the largest square which can be inscribed in the right triangle ABC. Thus,

Let AC = x cm, So, AQ=16-x cm


Hence, length of the largest square which can be inscribed in the right triangle ABC is 16/3 cm.


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