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of estion Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. 60° X y 93 2 y

of estion Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables-example-1

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The 30-60-90 ratio is a special right triangle that always has angles with measures: 30º, 60º, and 90º. Its side lengths have also the same relationship one with another.

For any 30-60-90 the ratio is as follows:

The side opposite to the 30º angle has length: z

The side opposite to the 60º angle has a length z√3

The side opposite to the 90º angle has a length: 2z

Following these ratios, you can determine the side lengths of the triangle.

The measure opposite to the 60º angle is z√3 = 9√3 → From this we can determine the value of z, which is z=9

Once we know the value of z, we can calculate the values of the sides opposite to the other angles.

The side opposite to the 30º angle is y= z= 9

The side opposite to the 90º angle is x= 2z= 2*9 = 18

of estion Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables-example-1
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