Respuesta :

Let's see

  • (10y)²=(6y)²+64²
  • 100y²-36y²=(64)²
  • 64y²=64²
  • y²=64
  • y=√64
  • y=8

Answer:

  y = 8

Step-by-step explanation:

A 3-4-5 right triangle, and its multiples, are the only ones with rational side lengths in the ratio 3:5. In other words, the 6y : 10y side ratios mean that ...

  3 : 4 : 5 = 6y : 64 : 10y

or

  64 = 8y

  y = 8 . . . . . . . divide by 8