Question

How do you solve for the Rations of Special Triangles? This is confusing

Answer 1

Answer:

The answer to your question is  x = $\frac{3\sqrt{2}}{2}$

Step-by-step explanation:

Data

right triangle

x = ?

hypotenuse = 3

To solve this problem use trigonometric functions. The trigonometric function that relates the opposite side and the hypotenuse is sine.

            sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

            x = hypotenuse  sin 45

-Substitution

 sin 45 = $\frac{\sqrt{2}}{2}$

            x = 3$\frac{\sqrt{2}}{2}$

-Solution

            x = $\frac{3\sqrt{2}}{2}$  It is not possible to simplify any more.