if two triangles are similar, what can you say about the ratios of the two side lengths within one triangle and the ratios of the corresponding side lengths in the other triangle?
Thank you anyone who helps :D
they are equal
I used that answer and it wasn't right :/
When two triangles are similar, it means that their corresponding angles are equal, and the ratio of their corresponding side lengths is constant. In other words, if you have two similar triangles, you can compare the ratios of their side lengths.
Here's how you can find the ratios of the side lengths within one triangle and the corresponding side lengths in the other triangle:
1. Identify corresponding sides: Start by labeling the corresponding sides of the two triangles. For example, if triangle A is similar to triangle B, then identify side A1 in triangle A and side B1 in triangle B, and so on for the other sides.
2. Calculate the ratios: To find the ratio of the two side lengths within one triangle, divide the longer side length by the shorter side length. For example, if side A1 is longer than side A2, the ratio within triangle A would be A1/A2.
To find the ratio of the corresponding side lengths in the other triangle, divide the longer corresponding side length by the shorter corresponding side length. For example, if side A1 corresponds to side B1, and side B1 is longer than side B2, the ratio in triangle B would be B1/B2.
3. Compare the ratios: If the triangles are similar, the ratio you calculated within one triangle should be equal to the ratio you calculated in the other triangle. This shows that the corresponding sides have the same proportional lengths.
By comparing the ratios of side lengths within one triangle and their corresponding side lengths in the other triangle, you can determine the similarity between the two triangles.