Question

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

Answer 1

The answer to your question is x =
`(3√(2))/(2)`

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 =
`(√(2))/(2)`

x = 3
`(√(2))/(2)`

-Solution

x =
`(3√(2))/(2)` It is not possible to simplify any more.