https://file.aiquickdraw.com/mathbot/file/17270475402862rumk0ap.jpg

The problem on the worksheet asks for a scaled copy of a triangle with a scale factor of 2.

### Given Triangle Dimensions:
- Shortest side: 4 cm
- Base: 7 cm
- Hypotenuse: 8 cm
- Angles: 30°, 60°, 90° (a right triangle)

### Scaling the Triangle:
Since the scale factor is 2, we will multiply all sides of the original triangle by 2.

#### Scaled Triangle Dimensions:
- Shortest side: \( 4 \, \text{cm} \times 2 = 8 \, \text{cm} \)
- Base: \( 7 \, \text{cm} \times 2 = 14 \, \text{cm} \)
- Hypotenuse: \( 8 \, \text{cm} \times 2 = 16 \, \text{cm} \)

The angles remain the same (30°, 60°, and 90°) because angles do not change when a triangle is scaled.

### Final Answer:
The scaled triangle will have the following dimensions:
- Shortest side: 8 cm
- Base: 14 cm
- Hypotenuse: 16 cm

Let me know if you need a detailed explanation or have any other questions.

Here are five related questions to expand your knowledge:
1. How would the triangle change if the scale factor were 3 instead of 2?
2. How does the area of the triangle change when the scale factor is applied?
3. Why don't the angles of the triangle change when scaling?
4. What would happen to the perimeter of the triangle if you applied a scale factor of 4?
5. Can you explain how the Pythagorean theorem applies to this triangle?

**Tip:** When scaling geometric figures, always remember that linear dimensions change by the scale factor, but areas change by the square of the scale factor!

Create a scaled copy of the triangle with a scale factor of 2. The original triangle has sides 4 cm, 7 cm, and 8 cm with angles of 30°, 60°, and 90°.

Learn how to create a scaled copy of a right triangle with a scale factor of 2. The original triangle has sides 4 cm, 7 cm, and 8 cm, and angles of 30°, 60°, and 90°. Suitable for Grade 7 students, this problem teaches geometry concepts including scaling and right triangles.

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