Two sides of a right triangle have lengths of 2 centimeters and 7 centimeters. the third side is not the hypotenuse. how long is the third side?

Use the Pythagorean Theorem: a² + b² = c².
a and b are the leg lengths and c is the hypotenuse.

The hypotenuse is the longest side of the three, so you know the hypotenuse is 7 cm.

We'll make 2 cm = a, and the third side = b.
Plug these into the formula.

2² + b² = 7²
4 + b² = 49
b² = 45
Square root b and 45 to find the length of the third side.

√b = √45
b = 6.71

The third side is 6.71 centimeters.

The answer is option c.