What is the best answer for the length of side x

Step-by-step explanation:

Solution 1 (Pythagorean Theorem):

In any right triangle, the Pythagorean Theorem holds true: , where is the hypotenuse of the triangle.

From the Isosceles-Base Theorem, the other leg of the triangle (unlabeled) must 5. Therefore, we have:

Solution 2 (ratios of a 45-45-90 triangle derived from the Pythagorean Theorem):

In any 45-45-90 triangle, the ratio of the sides will be , where is the hypotenuse. From there, we can see that one of the legs has a length of 5, and thus the hypotenuse will be . (derived from Pythagorean Theorem).

Solution 3 (Law of Sines):

In any triangle, the Law of Sines holds true: .

, and recall .

(recall )

Solution 4 (basic trig. for right triangles):

In any right triangle, the cosine of an angle is given by its adjacent side divided by the hypotenuse of the triangle.

(recall )

Solution 5 (Law of Cosines):

In any triangle, the Law of Cosines holds true: .

Assigning , we have:

(recall )

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e