19th Problem 2016

It should be round off.

We are given the sides of the two legs and are asked to find the length of the hypotenuse. To do this we must use the Pythagorean Theorem, where $a^2 + b^2 = c^2$ . First we set up the equation $153.3^2 + 69^2 = c^2$ . We get $23500.89 + 4761 = c^2$ , then when we add the two numbers on the LHS we get $28261.89 = c^2$ . To get the value of $c$ , we must square root both sides of the equation so $168.112730036 = c$ . The question said to round up the answer to the tenth place so $168.1 = c$ .