Question 3(Multiple Choice Worth 2 points) (Pythagorean Theorem LC) Determine which set of side measurements could be used to form a triangle. 4,6,12 5,19,24 6,10,17 8,9,15

To determine which set of side measurements could be used to form a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side. This is known as the triangle inequality theorem.<br /><br />Let's check each set of side measurements:<br /><br />1. $4, 6, 12$: <br /> - $4 + 6 = 10$, which is less than $12$. Therefore, this set of side measurements cannot form a triangle.<br /><br />2. $5, 19, 24$: <br /> - $5 + 19 = 24$, which is equal to the third side. Therefore, this set of side measurements cannot form a triangle.<br /><br />3. $6, 10, 17$: <br /> - $6 + 10 = 16$, which is less than $17$. Therefore, this set of side measurements cannot form a triangle.<br /><br />4. $8, 9, 15$: <br /> - $8 + 9 = 17$, which is greater than $15$. Therefore, this set of side measurements can form a triangle.<br /><br />So, the correct answer is: $8, 9, 15$.