Question

What is the scale factor between triangle aa and triangle bb aa: H:4 B:10 bb: H:8 B:20

Answer 1

To determine the scale factor between triangle aa and triangle bb, we can look at the corresponding heights and bases of the triangles.

The dimensions for triangle aa are:
- Height (H) = 4
- Base (B) = 10

The dimensions for triangle bb are:
- Height (H) = 8
- Base (B) = 20

To find the scale factor, we can compute the ratios of the corresponding sides:

**For the heights:**
\[
\text{Scale factor for height} = \frac{\text{Height of bb}}{\text{Height of aa}} = \frac{8}{4} = 2
\]

**For the bases:**
\[
\text{Scale factor for base} = \frac{\text{Base of bb}}{\text{Base of aa}} = \frac{20}{10} = 2
\]

Both ratios yield the same scale factor of 2, which indicates that triangle bb is twice the size of triangle aa.

Thus, the scale factor between triangle aa and triangle bb is **2**.