Respuesta :

leena

Hi there!

[tex]\large\boxed{\text{x = 6.2}}[/tex]

Use the Pythagorean theorem to solve for the missing side-length:

c² = a² + b², where:

c = hypotenuse (diagonal) of the triangle

a, b are legs of the triangle

Plug in the given values:

8² = 5² + x²

Simplify:

64 = 25 + x²

Subtract both sides by 25:

39 = x²

Square root both sides:

x ≈ 6.2