Question
the equilateral triangles below are similar.
what is the ratio of their areas?
2cm 5cm
what is the ratio of their areas?
2cm 5cm
Answers
Answered by
GPT 3.5
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.
Given:
Side length of smaller triangle = 2 cm
Side length of larger triangle = 5 cm
Ratio of their side lengths = 5/2 = 2.5
Therefore, the ratio of their areas = (2.5)^2 = 6.25
So, the ratio of the areas of the two equilateral triangles is 6.25.
Given:
Side length of smaller triangle = 2 cm
Side length of larger triangle = 5 cm
Ratio of their side lengths = 5/2 = 2.5
Therefore, the ratio of their areas = (2.5)^2 = 6.25
So, the ratio of the areas of the two equilateral triangles is 6.25.