The hypotenuse of a right triangle is 3 cm and one of the legs is 1 cm. what is the length of the other leg? give an exact answer (that means do not use your calculator to get a decimal).

Using the Pythagorean theorem we can solve for the missing leg.

The equation  is a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse. 

Filling in a and c with the information provided we will solve for b ( the missing leg).

1^2 + b^2 = 3^2

1 + b^2 = 9

b^2 = 9-1

b^2 = 8

b = SQRT(8)

b = 2 SQRT(2)

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