Question

Using the figure, find x and y

Answer 1

Answer:

• x = 8
• y = 2√3

Step-by-step explanation:

The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...

  1 : √3 : 2

Side x is thus twice the length of short side 4, so x = 8.

Side y is √3 times the length of short side x-6 = 2, so y = 2√3.

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If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.

  x = √(4² +(4√3)²) = √64 = 8

  y = √(4² -2²) = √12 = 2√3