**Answer:**

Option 2 - 3.2 inches.

**Step-by-step explanation:**

**Given : **The lengths of two sides of a right triangle are 5 inches and 8 inches.

**To find : **What is the difference between the two possible lengths of the third side of the triangle?

**Solution : **

**According to question, it is a right angle triangle **

**Applying Pythagoras theorem,**

**Where,** H is the hypotenuse the longer side of the triangle

P is the perpendicular

B is the base

**Assume that H=8 inches and B = 5 inches**

**Substitute the value in the formula,**

**Assume that P=8 inches and B = 5 inches**

**Substitute the value in the formula,**

**Therefore, The possible length of the third side of the triangle is **

**Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.**

**So, Option 2 is correct.**