Respuesta :

Step-by-step explanation:

The PYTHAGOTREAN theorem for RIGHT triangles states

Hypotenuse^2 = Leg1 ^2 + Leg2 ^2

For THIS right triangle:

x^2 = 8^2 + 13^2

x^2 = 64 + 169

x^2 = 233

x = sqrt (233)   = 15.2643 units   <===round as requested in your work