Answer: Incomplete question
Step-by-step explanation: The question does not provide a diagram, and that makes it difficult to determine which side is labelled as B. Nevertheless I will give you clues to help you answer your question by explaining this topic which is SIMILAR TRIANGLES.
When you have been given two triangles with a scale factor, the scale factor is an important part of answering the question eventually.
Consider a triangle which I shall call triangle 1, with sides abc and another triangle ABC, which I shall call triangle 2. The scale factor is 8, which means triangle 1 can be enlarged into a similar triangle by simply multiplying any corresponding side by 8. Hence, if in triangle abc, you have a side that measures 8 centimetres, the corresponding side in triangle ABC would be 8 times 8 which equals 64 centimetres.
The question states that side A corresponds with a side measuring length 2 centimetres. That means side A is derived as 2 times 8 which equals 16 centimetres, as explained above (and as shown in the question). Therefore side B which is yet unknown shall also be the corresponding side in triangle 1 multiplied by 8.
Since the corresponding side was not stated, I shall assume for the sake of explanation that the corresponding side is 10 centimetres. That means, side B would now be derived as 10 times 8 which equals 80 centimetres.
These can be expressed mathematically as follows;
If A = 16, a = 2 and b = 10 then B would be calculated as follows;
A/a = B/b
16/2 = B/10
By cross multiplication, you now have
16 * 10 = 2 * B
160/2 = B
80 = B
Following these steps along with the explanations, the length of side B can be derived if the value of its corresponding side is given or a diagram is provided.
