Question

In the figure below, find the exact value of y.

Answer 1

9514 1404 393

Answer:

  2

Step-by-step explanation:

y is the geometric mean of the segment lengths.

  y = √(4·1)

  y = 2

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You can also get there by considering the similarity of the triangles:

  short side / long side = y/4 = 1/y

  y^2 = 4 . . . . . . . multiply by 4y\

  y = √4 = 2 . . . . take the square root