Two similar triangles have areas 16 and 4. if a side of the smaller triangle measures 2, find the length of the corresponding side in the larger triangle.

Question

asked Jul 27, 2023 43.3k views

1 Answer

Ged Byrne · Answer 1 · 2023-08-02T18:41:52+0000

Answer: 4

Explanation:

The ratio of the areas of similar figures is the square of the side length.

Since the ratio of the areas is 16:4 = 4:1, the ratio of the side lengths is 2:1.

So, the length of the corresponding side is 2(2) = 4.