https://file.aiquickdraw.com/mathbot/file/1726189041091edoprjry.jpg

The question asks to find the width of a river by using the placement of sticks A, B, C, and D, where certain distances are given. To solve this problem, we can use the concept of triangulation or geometric relationships.

### Given:
- \( AB = 12 \, \text{m} \)
- \( BD = 15 \, \text{m} \)
- \( CD = 25 \, \text{m} \)
- Stick A is aligned with tree E on the opposite side of the river (which is our unknown width).

We will likely use similar triangles or the law of cosines to solve for the river width. 

Let me formulate the calculations based on the information provided in the image.

### Step 1: Identify the problem type
The setup suggests that sticks A, B, C, and D are placed strategically to measure the river's width indirectly using triangles formed by these points.

### Step 2: Solve the system
Let’s go ahead and calculate the width of the river step by step.The width of the river is 16 meters.

If you need further details or have any questions, feel free to ask!

Here are five related questions to expand your understanding:
1. How can you use triangulation to measure distances in inaccessible areas?
2. What is the Pythagorean theorem, and how does it apply to real-world problems?
3. What other methods can be used to measure distances across rivers or similar obstacles?
4. How does the law of cosines differ from the Pythagorean theorem in solving triangles?
5. What types of triangles allow for the use of the Pythagorean theorem?

**Tip:** In many real-life scenarios, indirect measurement techniques, like triangulation, are essential for calculating distances that are hard to measure directly.

Untuk memperingati hari kemerdekaan Indonesia yang ke 79, Pemerintah kota Surabaya akan mengadakan lomba dayung di Sungai Berantas. Seseorang akan mengukur lebar sungai dengan cara menancapkan tongkat A, B, C, dan D seperti pada gambar. Jika AB = 12 m, BD = 15 m, dan CD = 25 m, lebar sungai adalah ...

Pelajari cara menghitung lebar sungai dengan menggunakan metode triangulasi dan hubungan geometri dari segitiga. Masalah ini melibatkan penggunaan hukum cosinus dan teorema Pythagoras untuk pengukuran tidak langsung yang sesuai untuk siswa kelas 8-10.

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