Apply Given:
Longer hypotenuse = 8
Longer base = 2
Total base = x + 2
Let's solve for x.
To solve for x, apply Pythagorean theorem to first find the altitude:

Now, to find the shorter base, we have:
(x + 5) - 2 = x + 5 - 2 = x + 3
Apply the Triangle Altitude formula:

Cross multiply:

Divide both sides by 2:

Therefore, the value of x is 27.
• ANSWER:
x = 27