Answer:
√33 cm ≈ 5.745 cm
Step-by-step explanation:
Let b represent the third side. If the third side is not the hypotenuse, then the longest of the given sides must be the hypotenuse. The Pythagorean theorem tells us ...
4^2 + b^2 = 7^2
b^2 = 49 -16 = 33 . . . . . . . . subtract 16
b = √33 ≈ 5.745 . . . . . . . . . take the square root
The third side is √33 cm long, about 5.745 cm.
