Respuesta :

Answer:

  D.  8.7

Step-by-step explanation:

In order to say anything about the length of b, we must assume the triangle is a right triangle. Then the Pythagorean theorem applies, and we have ...

  c² = a² +b²

  b² = c² -a² . . . . . subtract a²

  b = √(c² -a²) . . . . . . take the square root

  b = √(10² -5²) = √(100 -25) = √75

  b ≈ 8.7