How do you find the ratio if the areas of 2 similar triangles in which the ratio of a pair of corresponding sides is 4:1
for similar shapes the ratio of areas is equal to the ratio of squares of the corresponding sides
since the sides are 4 : 1
the areas have a ration of 16: 1
To find the ratio of the areas of two similar triangles, you need to square the ratio of their corresponding sides.
Here's how to do that:
1. Start with the given ratio of the corresponding sides of the triangles. In this case, the ratio of a pair of corresponding sides is 4:1.
2. Square the ratio. In this case, the square of 4:1 is (4^2):(1^2) = 16:1.
3. The ratio you obtained in step 2 represents the ratio of the areas of the two similar triangles. In this case, the ratio of the areas is 16:1.
Therefore, the ratio of the areas of the two similar triangles is 16:1.