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It's the triangle 30 - 60 - 90. The lengths of a side are in proportion 1 : √3 : 2.

[tex]y=2\cdot17=34\\\\x=17\sqrt3[/tex]

Answer: x = 17√3, y = 34

The value of x is 34 and the value of y is [tex]17\sqrt{3} \\[/tex].

What is the 30-60-90 triangle?

The 30-60-90 triangle states that if the short leg is x, then the hypotenuse is 2x and the long leg is x√3.

The short leg, to find the hypotenuse, or y in this case, multiply the short leg by 2.

Then the value x is given by;

[tex]\rm x=17\times 3\\\\x=34[/tex]

And the value of y is;

[tex]\rm y=17\times \sqrt{3} \\\\y=17\sqrt{3} \\\\[/tex]

Hence, the value of x is 34 and the value of y is [tex]17\sqrt{3} \\[/tex].

Learn more about triangles here;

https://brainly.com/question/9553163

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