Similarity and Area Ratios - Concept

Concept Concept (1)

If two triangles are similar, then their corresponding sides are proportional. Since sides are a length and lengths are one dimensional, the side ratio will not predict the ratio of the areas. To find the area ratios, raise the side length ratio to the second power. This applies because area is a square or two-dimensional property.

Sample Sample Problems (3)

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Similarity and Area Ratios - Problem 1
Problem 1
How to find the ratio of corresponding lengths given the ratio of areas between similar polygons.
Similarity and Area Ratios - Problem 2
Problem 2
How to find missing lengths of similar polygons given the ratio of their areas.
Similarity and Area Ratios - Problem 3
Problem 3
How to find the area of similar triangles given one side length and one area.