Question

Find x in this 45°-45°-90° triangle.



x =

Answer 1

The answer to your question is x = 11√2 or 15.56

Explanation:

Data

Right triangle

hypotenuse = 22

angle = 45°

adjacent side = 45°

To solve this problem, use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

cos Ф = Adjacent side / hypotenuse

-Solve for adjacent side

Adjacent side = hypotenuse x cos Ф

-Find cos 45° = √2 / 2

-Substitution

Adjacent side = (22)(√2 /2)

Adjacent side = 11√2 or 15.56

Answer 2

The answer to your question is x = 11√2 or 15.56

Explanation:

Data

Right triangle

hypotenuse = 22

angle = 45°

adjacent side = 45°

To solve this problem, use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

cos Ф = Adjacent side / hypotenuse

-Solve for adjacent side

Adjacent side = hypotenuse x cos Ф

-Find cos 45° = √2 / 2

-Substitution

Adjacent side = (22)(√2 /2)

Adjacent side = 11√2 or 15.56