Find the missing side lengths of the special right triangle. Leave your answers as radicals in simplest form.

We have been a right triangle. We are asked to find the missing length of the given triangle.

We can see that our given triangle is 30-60-90 triangle.

We know that the lengths of the sides of a 30-60-90 triangle are in the ratio .

If the side opposite to 30 degree is , then the side opposite to 60 degree angle will be and side opposite to hypotenuse will be .

We can see that side corresponding to hypotenuse is 6 that is .

Let us solve for n.

The side corresponding to 30 degree angle will be half of 6 that is 3. Therefore, the value of y is 3.

The value of x will be as it is side corresponding to 60 degree angle.

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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step-by-step explanation: