Exercise 74 Page 659

First, we want to determine whether the given set of numbers can be the measures of the sides of a triangle. To do that we will use the Triangle Inequality Theorem. We have to check if the sum of each two sides is greater than the third side.

11+12<& 24 * 11+24>& 12 ✓ 12+24>& 11 ✓ As we can see, the given side lengths cannot form a triangle, because the sum of 11 and 12 is less than 24.