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Find the value of y. give an exact answer.

Find the value of y. give an exact answer.-example-1
User MoonBoots
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1 Answer

1 vote

Answer:

y = 8√2

Explanation:

First, we can use the 30-60-90 triangle rule on the rightmost triangle. This states that:

  • the hypotenuse is twice the short leg
  • the long leg is √3 times the short leg

So, we can solve for the middle line (I will call it L) on this triangle:

L = 16 / 2

L = 8

Next, we can solve for y using the rule with 45-45-90 triangles:

  • the legs are congruent
  • the hypotenuse is √2 times the length of the legs

So, we can solve for y:

y = 8 · √2

y = 8√2

User Alastair Brown
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