Which side length will form an obtuse triangle with side lengths 8 and 10

Option J 13

Step-by-step explanation:

we know that

If applying the Pythagoras Theorem

----> is  an obtuse triangle

----> is  an acute triangle

----> is a right triangle

where

c is the greater side

Verify each case

case F) we have

substitute

-----> is not true

Is a right triangle

case G) we have

substitute

-----> is not true

Is an acute triangle

case H) we have

substitute

-----> is not true

Is an acute triangle

case J) we have

substitute

-----> is true

Is an obtuse triangle