Respuesta :

Answer:

  • B. 48

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles

  • x/64 = (100 - 64)/x
  • x/64 = 36/x
  • x² = 64*36
  • x² = 8²*6²
  • x = 8*6
  • x = 48

Correct choice is B

Rest Hypotenuse part of triangle=100-64=36

Now

  • x²=64(36)
  • x²=8(8)(6)(6)
  • x²=8²6²
  • x=8(6)
  • x=48