The value of y in the triangle is 4√3 ( option A)
Similar triangles are triangles with equal corresponding angles and equal corresponding side ratios.
Using similar triangles theorem
16/x = x/12
x² = 16 × 12
x² = 192
Using Pythagorean theorem
x² = 12² + y²
x² = 192
192 = 144 + y²
y² = 192 - 144
y² = 48
y = √48
y = √16 × √3
y = 4√3
Therefore the value of y is 4√3