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Find x in this 45°-45°-90° triangle.



x =

Find x in this 45°-45°-90° triangle. x =-example-1
User Alex Siri
by
5.5k points

2 Answers

3 votes

Answer:

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

User Veta
by
5.4k points
1 vote

Answer:

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

User Wayan
by
4.8k points