Answer/Step-by-step explanation:
A. Given that ∆A has side lengths 3, 4, and 5, that corresponds to the side lengths 6, 7, and 8 of ∆B, both ∆s can only be similar to each other if the ratios of their corresponding side lengths are equal.
Thus:
[tex] \frac{3}{6} [/tex] ≠ [tex] \frac{4}{7} [/tex] ≠ [tex] \frac{5}{8} [/tex] .
✅The ratio of their corresponding side lengths is not equal, therefore, triangle B is not similar to triangle A.
B. To get the possible side lengths for triangle B to make it similar to triangle A, simply multiply each side length of triangle A by a scale factor.
Let's use a scale factor of 2.
3 × 2 = 6
4 × 2 = 8
5 × 2 = 10.
✅Possible side lengths for triangle B that will make it similar to triangle A are: 6, 8, and 10.
