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

In the figure below, find the exact value of y.-example-1
User Pronvit
by
3.1k points

1 Answer

10 votes

9514 1404 393

Answer:

2

Explanation:

y is the geometric mean of the segment lengths.

y = √(4·1)

y = 2

_____

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

User Sadeq
by
2.5k points
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