“ Triangle A has side lengths 3,4 and 5 . Triangle B has side lengths 6,7 and 8 “ “1. Explain how you know that triangle B is not similar to triangle A”
“2. Give possible side lengths for triangle B so that it is similar to triangle A”

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:

≠ ≠ .

✅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.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

there is no question content here, but you for the free points! : d