Question

Using the Pythagorean theorem, find the length of c if a = 14 * the square root of 3 and b = 34

Answer 1

If c is the hypotenuse, we have

$c=\sqrt{a^2+b^2}=\sqrt{(14\sqrt{3})^2+34^2}=\sqrt{588+1156}=\sqrt{1744}$

If instead b is the hypothenuse, you have

$c=\sqrt{b^2-a^2}=\sqrt{1156-588}=\sqrt{568}$