https://file.aiquickdraw.com/mathbot/file/1730783491563t0trxfgz.jpg

To create a scale drawing of the triangle using a scale factor of 3, you’ll need to enlarge each dimension of the original triangle by multiplying it by 3.

### Original Triangle Dimensions
- **Height**: 2 units
- **Base**: 4 units

### Scaled Triangle Dimensions
Using a scale factor of 3:
- New Height = \( 2 \times 3 = 6 \) units
- New Base = \( 4 \times 3 = 12 \) units

### Drawing the Scaled Triangle
1. Starting from a point on the grid, draw a line segment that is 12 units long for the base.
2. From one end of this base, draw a perpendicular line that is 6 units tall for the height.
3. Connect the top of the height line back to the other end of the base to complete the triangle.

This will give you a scaled triangle that is similar to the original but three times larger in each dimension.

Would you like further details on how to complete this scale drawing?

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### Further Questions for Exploration:
1. What would happen to the area of the triangle with a scale factor of 3?
2. How would you scale the triangle by a factor of 1.5 instead of 3?
3. If the base was 5 units instead of 4, how would the scaled triangle dimensions change?
4. Can the scale factor be a fraction, and how would that affect the drawing?
5. How does scaling impact the angles in a triangle?

### Tip:
When scaling a shape, all linear dimensions (like base and height) are multiplied by the scale factor, but area increases by the square of the scale factor.

Create a scale drawing of the triangle by using the scale factor of 3.

Learn how to create a scale drawing of a triangle by applying a scale factor of 3. This problem covers key geometry concepts, including similar triangles and the effects of scaling on dimensions and area, suitable for students in Grades 6-8.

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