Exercise 1 Page 564

To find the missing side of the triangle, we will use the Pythagorean Theorem. a^2+b^2=c^2In the formula, a and b are the legs and c is the hypotenuse of a right triangle. We are given a triangle with a= 10, b= 6, and c= x.

Let's substitute these values into the formula.

Since a negative side length does not make sense, we only need to consider positive solutions. Therefore, the value of x is 2sqrt(34). Because 2sqrt(34) is not an integer, the side lengths do not form a Pythagorean triple.