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It states that the ratio of the areas of two similar triangles is equal to the.
Similar triangles area math. If 2 triangles are similar their areas are the square of that similarity ratio scale factor for instance if the similarity ratio of 2 triangles is 3 4 then their areas have a ratio of 32 42 9 16. If two triangles are similar then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides. Suppose abc is similar to def with ab 5 and de 8. Area of similar triangles theorem theorem.
Theorem for areas of similar triangles. It turns out that this pattern always works if ratio of the sides of two similar triangles is x then the ratio of the areas of the triangles is x2. Areas of similar triangles introduction to similarity. Proof of theorem for areas.
However in order to be sure that two triangles are similar we do not necessarily need to. 3 2 9. According to the stated theorem.
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