https://file.aiquickdraw.com/mathbot/file/17291032943113tix8x5x.jpg

The image you've uploaded shows a geometric diagram involving a pyramid-like shape with vertices labeled \( A \), \( B \), \( C \), \( D \), and \( O \). The sides \( OC \) and \( CD \) are labeled as 13 mm and 10 mm respectively. The question refers to calculating the areas of the triangular faces \( AOB \) and \( COD \), and you're asked to provide your answers rounded to one decimal place (1 d.p.).

Let's break this down step-by-step.

### Step 1: Identify the triangles
- **Face AOB**: This is a triangular face formed by the points \( A \), \( O \), and \( B \).
- **Face COD**: This triangle involves the points \( C \), \( O \), and \( D \). You have been provided with side lengths \( OC = 13 \) mm and \( CD = 10 \) mm.

### Step 2: Determine additional information
To calculate the areas of these triangles, we need more data, like side lengths or angles between the sides in triangles \( AOB \) and \( COD \). Based on the given, it seems like some information about the other side lengths, angles, or the height from vertex \( O \) to the base might be implied in the larger problem, but it's not fully visible here.

### Step 3: Use the formula for the area of a triangle
For any triangle, the area can be calculated using the formula:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
or, if angles are given:
\[
\text{Area} = \frac{1}{2} \times a \times b \times \sin(\theta)
\]
where \( a \) and \( b \) are sides and \( \theta \) is the angle between them.

If you can provide the missing values, like the other sides or angles, we can proceed to calculate the areas.

Would you like to clarify or provide any missing details from the problem? Additionally, feel free to ask any questions you may have.

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Here are some related questions for further exploration:
1. Do you have any information about the length of side \( AB \) or angles in triangle \( AOB \)?
2. Is there any data about the height of the pyramid from vertex \( O \)?
3. Are you provided with angles between sides \( OC \) and \( CD \) in triangle \( COD \)?
4. Do you know the length of side \( OB \) to help calculate the area of triangle \( AOB \)?
5. Is this a regular pyramid, or does it have irregular dimensions?

### Tip:
When calculating areas of triangles, if you have two sides and the included angle, use the sine rule for easier computation!

Calculate the areas of faces AOB and COD based on the geometric diagram provided, giving answers to 1 decimal place.

This problem involves calculating the areas of triangular faces AOB and COD in a 3D pyramid structure. Using key geometry concepts such as triangle area formulas and applying given side lengths (OC = 13 mm, CD = 10 mm), students will find the areas, rounding answers to 1 decimal place. Suitable for high school geometry students.

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