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Sides of a two similar triangle are the ratio 4:9 . Find the areas of the triangle in the ratio |
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Answer» 16/81 Given: the ratio of sides is 4:9Solution:Let there are two triangles ABC and PQR similar to each otherWhere AB/PQ=4/9According to theorem 6.6 which states that the ratio of areas of similar triangles is equal to the square of the ratio of their sidesHence,ar(ABC)/ar(PQR)=(AB/PQ)² =(4/9)² =(16/81)Therefore, the ratio of the areas of given triangles is 16:81Hope this helps u!!!One more thing this(theorem 6.6) is deleted from the syllabus od 2020-2021 as 30percent syllabus is reduced??? 16/81 |
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