The length of two sides of a right triangle are 5in and 8 in. what is the difference between the two possible length of the third side of the triangle? round your answer to the nearest tenth

Difference between the two possible lengths of the third side of the triangle= inches

Step-by-step explanation:

Case 1: For

Given:

AB=5 in BC=8 in AC= unknown

Using Pythagorean theorem:

          [Plugging in values of

Taking square root both sides.

inches

Case 2: For

Given:

AC=8 in BC=5 in AB= unknown

Using Pythagorean theorem:

      [Plugging in values of

Taking square root both sides.

inches

Difference between the two possible lengths of the third side of the triangle= inches

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: