Question

The measure of c is _____. 16 4 8

Answer 1

The Pythagorean theorem tells you the square of the measure of the hypotenuse is the sum of the squares of the other two sides.
  c² = 8² + 12²
  c² = 208
  c = √208 ≈ 14.42

Answer 2

This is a right triangle and the hypotenuse is what we are looking for, c.  The formula to find the length of the hypotenuse is Pythagroean's Theorem, or  $c^2=a^2+b^2$.  Let's let a = 8 and b = 12.  Filling in the formula then we have  $c^2=8^2+12^2$  and  $c^2= 64+144$  and  $c^2=208$.    c then is equal to  $\sqrt{208}$.  208 is not a perfect square, so if you simplify it and use the decimal form, it is 14.422, but if you leave it in radical form it simplifies to  $4 \sqrt{13}$.  I don't see that as one of your choices, but that's the answer.