Math Problem Statement
Menentukan nilai x
Solution
The image shows a right-angled triangle with sides labeled. Let's identify the key details:
- The triangle has:
- (blue side, adjacent to angle ),
- (red side, opposite angle ),
- (hypotenuse).
The problem asks to find the value of , where is the angle at vertex .
Solution:
The cosine of an angle in a right triangle is given by:
Here:
- The adjacent side is ,
- The hypotenuse is .
Thus:
The value of is .
Would you like further details, or do you have any questions?
Here are some related questions:
- How do we calculate for this triangle?
- What is the value of ?
- How can we verify the triangle's side lengths using the Pythagorean theorem?
- What is the significance of the angle in trigonometry?
- Can we find the angle using inverse cosine?
Tip: Always remember that in a right triangle, the cosine function relates the adjacent side to the hypotenuse!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right-Angled Triangles
Cosine
Formulas
cos θ = adjacent / hypotenuse
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 7-9
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