# If the graph of the equation 4x+3y=12 cuts the coordinate axes at A and B, then hypotenuse of right triangle AOB is of lengthA. 4 unitsB. 3 unitsC. 5 unitsD. none of these

4x + 3y = 12

A is (3, 0)

B is (0, 4)

Base of triangle AOB = OA = 3 untis

Perpendicualr of triangle AOB = OB = 4 units

Hypotenuse2 = perepndicular2 + base2

Hypotenuse2 = 16 + 9 = 25 sq units

Hypotenuse = 5 units

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